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Finding the Fourth Proportional to 147.59, 219.94 and 143.42

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Solution

The fourth proportional to 147.59, 219.94 and 143.42 is: 213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.59 : 219.94 = 143.42 : x
  2. Step 2: Convert to fraction form
    147.59/219.94 = 143.42/x
  3. Step 3: Cross multiply
    147.59x = 219.94 × 143.42
  4. Step 4: Simplify right side
    147.59x = 31,542.34
  5. Step 5: Solve for x
    x = 31,542.34/147.59
  6. Step 6: Final answer
    x = 213.71

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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.