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Finding the Fourth Proportional to 493.47, 740.14 and 146.86

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Solution

The fourth proportional to 493.47, 740.14 and 146.86 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 740.14 = 146.86 : x
  2. Step 2: Convert to fraction form
    493.47/740.14 = 146.86/x
  3. Step 3: Cross multiply
    493.47x = 740.14 × 146.86
  4. Step 4: Simplify right side
    493.47x = 108,694.74
  5. Step 5: Solve for x
    x = 108,694.74/493.47
  6. Step 6: Final answer
    x = 220.27

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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.