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Finding the Fourth Proportional to 135.38, 202.29 and 118.98

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Solution

The fourth proportional to 135.38, 202.29 and 118.98 is: 177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 202.29 = 118.98 : x
  2. Step 2: Convert to fraction form
    135.38/202.29 = 118.98/x
  3. Step 3: Cross multiply
    135.38x = 202.29 × 118.98
  4. Step 4: Simplify right side
    135.38x = 24,068.46
  5. Step 5: Solve for x
    x = 24,068.46/135.38
  6. Step 6: Final answer
    x = 177.78

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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.