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Finding the Fourth Proportional to 332, 497.73 and 149.30

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Solution

The fourth proportional to 332, 497.73 and 149.30 is: 223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332 : 497.73 = 149.30 : x
  2. Step 2: Convert to fraction form
    332/497.73 = 149.30/x
  3. Step 3: Cross multiply
    332x = 497.73 × 149.30
  4. Step 4: Simplify right side
    332x = 74,311.09
  5. Step 5: Solve for x
    x = 74,311.09/332
  6. Step 6: Final answer
    x = 223.83

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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.