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Finding the Fourth Proportional to 458.62, 687.67 and 150.21

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Solution

The fourth proportional to 458.62, 687.67 and 150.21 is: 225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.62 : 687.67 = 150.21 : x
  2. Step 2: Convert to fraction form
    458.62/687.67 = 150.21/x
  3. Step 3: Cross multiply
    458.62x = 687.67 × 150.21
  4. Step 4: Simplify right side
    458.62x = 103,294.54
  5. Step 5: Solve for x
    x = 103,294.54/458.62
  6. Step 6: Final answer
    x = 225.23

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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.