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Finding the Fourth Proportional to 332.13, 498.45 and 178.10

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Solution

The fourth proportional to 332.13, 498.45 and 178.10 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.13 : 498.45 = 178.10 : x
  2. Step 2: Convert to fraction form
    332.13/498.45 = 178.10/x
  3. Step 3: Cross multiply
    332.13x = 498.45 × 178.10
  4. Step 4: Simplify right side
    332.13x = 88,773.99
  5. Step 5: Solve for x
    x = 88,773.99/332.13
  6. Step 6: Final answer
    x = 267.28

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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.