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Finding the Fourth Proportional to 478.86, 718.38 and 166.53

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Solution

The fourth proportional to 478.86, 718.38 and 166.53 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.86 : 718.38 = 166.53 : x
  2. Step 2: Convert to fraction form
    478.86/718.38 = 166.53/x
  3. Step 3: Cross multiply
    478.86x = 718.38 × 166.53
  4. Step 4: Simplify right side
    478.86x = 119,631.82
  5. Step 5: Solve for x
    x = 119,631.82/478.86
  6. Step 6: Final answer
    x = 249.83

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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.