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Finding the Fourth Proportional to 150.59, 224.91 and 120.06

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Solution

The fourth proportional to 150.59, 224.91 and 120.06 is: 179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.59 : 224.91 = 120.06 : x
  2. Step 2: Convert to fraction form
    150.59/224.91 = 120.06/x
  3. Step 3: Cross multiply
    150.59x = 224.91 × 120.06
  4. Step 4: Simplify right side
    150.59x = 27,002.69
  5. Step 5: Solve for x
    x = 27,002.69/150.59
  6. Step 6: Final answer
    x = 179.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.