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Finding the Fourth Proportional to 456.08, 684.21 and 147.86

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Solution

The fourth proportional to 456.08, 684.21 and 147.86 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.08 : 684.21 = 147.86 : x
  2. Step 2: Convert to fraction form
    456.08/684.21 = 147.86/x
  3. Step 3: Cross multiply
    456.08x = 684.21 × 147.86
  4. Step 4: Simplify right side
    456.08x = 101,167.29
  5. Step 5: Solve for x
    x = 101,167.29/456.08
  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.