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Finding the Fourth Proportional to 493.74, 740.50 and 147

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Solution

The fourth proportional to 493.74, 740.50 and 147 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 740.50 = 147 : x
  2. Step 2: Convert to fraction form
    493.74/740.50 = 147/x
  3. Step 3: Cross multiply
    493.74x = 740.50 × 147
  4. Step 4: Simplify right side
    493.74x = 108,853.50
  5. Step 5: Solve for x
    x = 108,853.50/493.74
  6. Step 6: Final answer
    x = 220.47

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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.