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Finding the Fourth Proportional to 137.49, 205 and 135.66

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Solution

The fourth proportional to 137.49, 205 and 135.66 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.49 : 205 = 135.66 : x
  2. Step 2: Convert to fraction form
    137.49/205 = 135.66/x
  3. Step 3: Cross multiply
    137.49x = 205 × 135.66
  4. Step 4: Simplify right side
    137.49x = 27,810.30
  5. Step 5: Solve for x
    x = 27,810.30/137.49
  6. Step 6: Final answer
    x = 202.27

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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.