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Finding the Fourth Proportional to 543.26, 814.59 and 178.02

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Solution

The fourth proportional to 543.26, 814.59 and 178.02 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.26 : 814.59 = 178.02 : x
  2. Step 2: Convert to fraction form
    543.26/814.59 = 178.02/x
  3. Step 3: Cross multiply
    543.26x = 814.59 × 178.02
  4. Step 4: Simplify right side
    543.26x = 145,013.31
  5. Step 5: Solve for x
    x = 145,013.31/543.26
  6. Step 6: Final answer
    x = 266.93

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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.