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Finding the Fourth Proportional to 140.97, 210.48 and 134.22

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Solution

The fourth proportional to 140.97, 210.48 and 134.22 is: 200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.97 : 210.48 = 134.22 : x
  2. Step 2: Convert to fraction form
    140.97/210.48 = 134.22/x
  3. Step 3: Cross multiply
    140.97x = 210.48 × 134.22
  4. Step 4: Simplify right side
    140.97x = 28,250.63
  5. Step 5: Solve for x
    x = 28,250.63/140.97
  6. Step 6: Final answer
    x = 200.40

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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.