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Finding the Fourth Proportional to 331.68, 497.69 and 158.25

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Solution

The fourth proportional to 331.68, 497.69 and 158.25 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.68 : 497.69 = 158.25 : x
  2. Step 2: Convert to fraction form
    331.68/497.69 = 158.25/x
  3. Step 3: Cross multiply
    331.68x = 497.69 × 158.25
  4. Step 4: Simplify right side
    331.68x = 78,758.65
  5. Step 5: Solve for x
    x = 78,758.65/331.68
  6. Step 6: Final answer
    x = 237.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.