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Finding the Fourth Proportional to 543.30, 815.08 and 178.12

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Solution

The fourth proportional to 543.30, 815.08 and 178.12 is: 267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.30 : 815.08 = 178.12 : x
  2. Step 2: Convert to fraction form
    543.30/815.08 = 178.12/x
  3. Step 3: Cross multiply
    543.30x = 815.08 × 178.12
  4. Step 4: Simplify right side
    543.30x = 145,182.05
  5. Step 5: Solve for x
    x = 145,182.05/543.30
  6. Step 6: Final answer
    x = 267.22

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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.