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Finding the Fourth Proportional to 542.81, 814.41 and 177.60

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Solution

The fourth proportional to 542.81, 814.41 and 177.60 is: 266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.81 : 814.41 = 177.60 : x
  2. Step 2: Convert to fraction form
    542.81/814.41 = 177.60/x
  3. Step 3: Cross multiply
    542.81x = 814.41 × 177.60
  4. Step 4: Simplify right side
    542.81x = 144,639.22
  5. Step 5: Solve for x
    x = 144,639.22/542.81
  6. Step 6: Final answer
    x = 266.46

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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.