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Finding the Fourth Proportional to 542.84, 814.09 and 177.55

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Solution

The fourth proportional to 542.84, 814.09 and 177.55 is: 266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 814.09 = 177.55 : x
  2. Step 2: Convert to fraction form
    542.84/814.09 = 177.55/x
  3. Step 3: Cross multiply
    542.84x = 814.09 × 177.55
  4. Step 4: Simplify right side
    542.84x = 144,541.68
  5. Step 5: Solve for x
    x = 144,541.68/542.84
  6. Step 6: Final answer
    x = 266.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.