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Finding the Fourth Proportional to 438.88, 658.16 and 150.26

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Solution

The fourth proportional to 438.88, 658.16 and 150.26 is: 225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.88 : 658.16 = 150.26 : x
  2. Step 2: Convert to fraction form
    438.88/658.16 = 150.26/x
  3. Step 3: Cross multiply
    438.88x = 658.16 × 150.26
  4. Step 4: Simplify right side
    438.88x = 98,895.12
  5. Step 5: Solve for x
    x = 98,895.12/438.88
  6. Step 6: Final answer
    x = 225.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.