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Finding the Fourth Proportional to 458.94, 688.50 and 150.75

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Solution

The fourth proportional to 458.94, 688.50 and 150.75 is: 226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 688.50 = 150.75 : x
  2. Step 2: Convert to fraction form
    458.94/688.50 = 150.75/x
  3. Step 3: Cross multiply
    458.94x = 688.50 × 150.75
  4. Step 4: Simplify right side
    458.94x = 103,791.38
  5. Step 5: Solve for x
    x = 103,791.38/458.94
  6. Step 6: Final answer
    x = 226.15

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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.