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Finding the Fourth Proportional to 140.96, 209.59 and 135.50

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Solution

The fourth proportional to 140.96, 209.59 and 135.50 is: 201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 209.59 = 135.50 : x
  2. Step 2: Convert to fraction form
    140.96/209.59 = 135.50/x
  3. Step 3: Cross multiply
    140.96x = 209.59 × 135.50
  4. Step 4: Simplify right side
    140.96x = 28,398.06
  5. Step 5: Solve for x
    x = 28,398.06/140.96
  6. Step 6: Final answer
    x = 201.46

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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.