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Finding the Fourth Proportional to 140.52, 211.74 and 135.03

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Solution

The fourth proportional to 140.52, 211.74 and 135.03 is: 203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.52 : 211.74 = 135.03 : x
  2. Step 2: Convert to fraction form
    140.52/211.74 = 135.03/x
  3. Step 3: Cross multiply
    140.52x = 211.74 × 135.03
  4. Step 4: Simplify right side
    140.52x = 28,591.25
  5. Step 5: Solve for x
    x = 28,591.25/140.52
  6. Step 6: Final answer
    x = 203.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.