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Finding the Fourth Proportional to 147.52, 219.74 and 142.53

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Solution

The fourth proportional to 147.52, 219.74 and 142.53 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.52 : 219.74 = 142.53 : x
  2. Step 2: Convert to fraction form
    147.52/219.74 = 142.53/x
  3. Step 3: Cross multiply
    147.52x = 219.74 × 142.53
  4. Step 4: Simplify right side
    147.52x = 31,319.54
  5. Step 5: Solve for x
    x = 31,319.54/147.52
  6. Step 6: Final answer
    x = 212.31

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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.