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Finding the Fourth Proportional to 331.65, 497.34 and 149.00

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Solution

The fourth proportional to 331.65, 497.34 and 149.00 is: 223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.65 : 497.34 = 149.00 : x
  2. Step 2: Convert to fraction form
    331.65/497.34 = 149.00/x
  3. Step 3: Cross multiply
    331.65x = 497.34 × 149.00
  4. Step 4: Simplify right side
    331.65x = 74,101.17
  5. Step 5: Solve for x
    x = 74,101.17/331.65
  6. Step 6: Final answer
    x = 223.43

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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.