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Finding the Fourth Proportional to 458.65, 688.06 and 150.50

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Solution

The fourth proportional to 458.65, 688.06 and 150.50 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.65 : 688.06 = 150.50 : x
  2. Step 2: Convert to fraction form
    458.65/688.06 = 150.50/x
  3. Step 3: Cross multiply
    458.65x = 688.06 × 150.50
  4. Step 4: Simplify right side
    458.65x = 103,553.03
  5. Step 5: Solve for x
    x = 103,553.03/458.65
  6. Step 6: Final answer
    x = 225.78

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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.