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Finding the Fourth Proportional to 118.53, 178.90 and 118.53

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Solution

The fourth proportional to 118.53, 178.90 and 118.53 is: 178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.53 : 178.90 = 118.53 : x
  2. Step 2: Convert to fraction form
    118.53/178.90 = 118.53/x
  3. Step 3: Cross multiply
    118.53x = 178.90 × 118.53
  4. Step 4: Simplify right side
    118.53x = 21,204.72
  5. Step 5: Solve for x
    x = 21,204.72/118.53
  6. Step 6: Final answer
    x = 178.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.