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Finding the Fourth Proportional to 149.61, 224.31 and 58.28

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Solution

The fourth proportional to 149.61, 224.31 and 58.28 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.61 : 224.31 = 58.28 : x
  2. Step 2: Convert to fraction form
    149.61/224.31 = 58.28/x
  3. Step 3: Cross multiply
    149.61x = 224.31 × 58.28
  4. Step 4: Simplify right side
    149.61x = 13,072.79
  5. Step 5: Solve for x
    x = 13,072.79/149.61
  6. Step 6: Final answer
    x = 87.38

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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.