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Finding the Fourth Proportional to 148.24, 220.56 and 147.71

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Solution

The fourth proportional to 148.24, 220.56 and 147.71 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.24 : 220.56 = 147.71 : x
  2. Step 2: Convert to fraction form
    148.24/220.56 = 147.71/x
  3. Step 3: Cross multiply
    148.24x = 220.56 × 147.71
  4. Step 4: Simplify right side
    148.24x = 32,579.23
  5. Step 5: Solve for x
    x = 32,579.23/148.24
  6. Step 6: Final answer
    x = 219.77

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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.