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Finding the Fourth Proportional to 458.70, 688.12 and 150.50

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Solution

The fourth proportional to 458.70, 688.12 and 150.50 is: 225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 688.12 = 150.50 : x
  2. Step 2: Convert to fraction form
    458.70/688.12 = 150.50/x
  3. Step 3: Cross multiply
    458.70x = 688.12 × 150.50
  4. Step 4: Simplify right side
    458.70x = 103,558.24
  5. Step 5: Solve for x
    x = 103,558.24/458.70
  6. Step 6: Final answer
    x = 225.76

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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.