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Finding the Fourth Proportional to 140.17, 208.55 and 137.44

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Solution

The fourth proportional to 140.17, 208.55 and 137.44 is: 204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.17 : 208.55 = 137.44 : x
  2. Step 2: Convert to fraction form
    140.17/208.55 = 137.44/x
  3. Step 3: Cross multiply
    140.17x = 208.55 × 137.44
  4. Step 4: Simplify right side
    140.17x = 28,663.11
  5. Step 5: Solve for x
    x = 28,663.11/140.17
  6. Step 6: Final answer
    x = 204.49

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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.