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Finding the Fourth Proportional to 493.48, 739.96 and 146.76

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Solution

The fourth proportional to 493.48, 739.96 and 146.76 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 739.96 = 146.76 : x
  2. Step 2: Convert to fraction form
    493.48/739.96 = 146.76/x
  3. Step 3: Cross multiply
    493.48x = 739.96 × 146.76
  4. Step 4: Simplify right side
    493.48x = 108,595.80
  5. Step 5: Solve for x
    x = 108,595.80/493.48
  6. Step 6: Final answer
    x = 220.06

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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.