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Finding the Fourth Proportional to 148.52, 221.59 and 130.52

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Solution

The fourth proportional to 148.52, 221.59 and 130.52 is: 194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.52 : 221.59 = 130.52 : x
  2. Step 2: Convert to fraction form
    148.52/221.59 = 130.52/x
  3. Step 3: Cross multiply
    148.52x = 221.59 × 130.52
  4. Step 4: Simplify right side
    148.52x = 28,921.93
  5. Step 5: Solve for x
    x = 28,921.93/148.52
  6. Step 6: Final answer
    x = 194.73

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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.