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Finding the Fourth Proportional to 442.38, 663.66 and 153.82

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Solution

The fourth proportional to 442.38, 663.66 and 153.82 is: 230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.38 : 663.66 = 153.82 : x
  2. Step 2: Convert to fraction form
    442.38/663.66 = 153.82/x
  3. Step 3: Cross multiply
    442.38x = 663.66 × 153.82
  4. Step 4: Simplify right side
    442.38x = 102,084.18
  5. Step 5: Solve for x
    x = 102,084.18/442.38
  6. Step 6: Final answer
    x = 230.76

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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.