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Finding the Fourth Proportional to 491.72, 737.11 and 166.86

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Solution

The fourth proportional to 491.72, 737.11 and 166.86 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 737.11 = 166.86 : x
  2. Step 2: Convert to fraction form
    491.72/737.11 = 166.86/x
  3. Step 3: Cross multiply
    491.72x = 737.11 × 166.86
  4. Step 4: Simplify right side
    491.72x = 122,993.76
  5. Step 5: Solve for x
    x = 122,993.76/491.72
  6. Step 6: Final answer
    x = 250.13

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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.