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Finding the Fourth Proportional to 543.45, 815.19 and 178.23

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Solution

The fourth proportional to 543.45, 815.19 and 178.23 is: 267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.45 : 815.19 = 178.23 : x
  2. Step 2: Convert to fraction form
    543.45/815.19 = 178.23/x
  3. Step 3: Cross multiply
    543.45x = 815.19 × 178.23
  4. Step 4: Simplify right side
    543.45x = 145,294.02
  5. Step 5: Solve for x
    x = 145,294.02/543.45
  6. Step 6: Final answer
    x = 267.36

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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.