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Finding the Fourth Proportional to 141.46, 210.97 and 134.17

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Solution

The fourth proportional to 141.46, 210.97 and 134.17 is: 200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.46 : 210.97 = 134.17 : x
  2. Step 2: Convert to fraction form
    141.46/210.97 = 134.17/x
  3. Step 3: Cross multiply
    141.46x = 210.97 × 134.17
  4. Step 4: Simplify right side
    141.46x = 28,304.79
  5. Step 5: Solve for x
    x = 28,304.79/141.46
  6. Step 6: Final answer
    x = 200.10

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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.