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Finding the Fourth Proportional to 142.87, 213.16 and 134.35

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Solution

The fourth proportional to 142.87, 213.16 and 134.35 is: 200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.87 : 213.16 = 134.35 : x
  2. Step 2: Convert to fraction form
    142.87/213.16 = 134.35/x
  3. Step 3: Cross multiply
    142.87x = 213.16 × 134.35
  4. Step 4: Simplify right side
    142.87x = 28,638.05
  5. Step 5: Solve for x
    x = 28,638.05/142.87
  6. Step 6: Final answer
    x = 200.45

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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.