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Finding the Fourth Proportional to 456.10, 684.12 and 178.40

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Solution

The fourth proportional to 456.10, 684.12 and 178.40 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 684.12 = 178.40 : x
  2. Step 2: Convert to fraction form
    456.10/684.12 = 178.40/x
  3. Step 3: Cross multiply
    456.10x = 684.12 × 178.40
  4. Step 4: Simplify right side
    456.10x = 122,046.97
  5. Step 5: Solve for x
    x = 122,046.97/456.10
  6. Step 6: Final answer
    x = 267.59

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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.