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Finding the Fourth Proportional to 150.71, 224.60 and 147.06

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Solution

The fourth proportional to 150.71, 224.60 and 147.06 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.71 : 224.60 = 147.06 : x
  2. Step 2: Convert to fraction form
    150.71/224.60 = 147.06/x
  3. Step 3: Cross multiply
    150.71x = 224.60 × 147.06
  4. Step 4: Simplify right side
    150.71x = 33,028.94
  5. Step 5: Solve for x
    x = 33,028.94/150.71
  6. Step 6: Final answer
    x = 219.16

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Why These Related Problems?

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