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Finding the Fourth Proportional to 140.52, 209.64 and 135.96

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Solution

The fourth proportional to 140.52, 209.64 and 135.96 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.52 : 209.64 = 135.96 : x
  2. Step 2: Convert to fraction form
    140.52/209.64 = 135.96/x
  3. Step 3: Cross multiply
    140.52x = 209.64 × 135.96
  4. Step 4: Simplify right side
    140.52x = 28,502.65
  5. Step 5: Solve for x
    x = 28,502.65/140.52
  6. Step 6: Final answer
    x = 202.84

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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.