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Finding the Fourth Proportional to 456.14, 684.05 and 147.91

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Solution

The fourth proportional to 456.14, 684.05 and 147.91 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 684.05 = 147.91 : x
  2. Step 2: Convert to fraction form
    456.14/684.05 = 147.91/x
  3. Step 3: Cross multiply
    456.14x = 684.05 × 147.91
  4. Step 4: Simplify right side
    456.14x = 101,180.49
  5. Step 5: Solve for x
    x = 101,180.49/456.14
  6. Step 6: Final answer
    x = 221.82

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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.