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Finding the Fourth Proportional to 458.86, 688.34 and 166.32

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Solution

The fourth proportional to 458.86, 688.34 and 166.32 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.86 : 688.34 = 166.32 : x
  2. Step 2: Convert to fraction form
    458.86/688.34 = 166.32/x
  3. Step 3: Cross multiply
    458.86x = 688.34 × 166.32
  4. Step 4: Simplify right side
    458.86x = 114,487.71
  5. Step 5: Solve for x
    x = 114,487.71/458.86
  6. Step 6: Final answer
    x = 249.51

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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.