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Finding the Fourth Proportional to 442.67, 663.96 and 154.10

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Solution

The fourth proportional to 442.67, 663.96 and 154.10 is: 231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.67 : 663.96 = 154.10 : x
  2. Step 2: Convert to fraction form
    442.67/663.96 = 154.10/x
  3. Step 3: Cross multiply
    442.67x = 663.96 × 154.10
  4. Step 4: Simplify right side
    442.67x = 102,318.47
  5. Step 5: Solve for x
    x = 102,318.47/442.67
  6. Step 6: Final answer
    x = 231.14

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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.