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Finding the Fourth Proportional to 543.07, 814.02 and 177.59

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Solution

The fourth proportional to 543.07, 814.02 and 177.59 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.07 : 814.02 = 177.59 : x
  2. Step 2: Convert to fraction form
    543.07/814.02 = 177.59/x
  3. Step 3: Cross multiply
    543.07x = 814.02 × 177.59
  4. Step 4: Simplify right side
    543.07x = 144,563.18
  5. Step 5: Solve for x
    x = 144,563.18/543.07
  6. Step 6: Final answer
    x = 266.20

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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.