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Finding the Fourth Proportional to 155.88, 232.68 and 137.66

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Solution

The fourth proportional to 155.88, 232.68 and 137.66 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 232.68 = 137.66 : x
  2. Step 2: Convert to fraction form
    155.88/232.68 = 137.66/x
  3. Step 3: Cross multiply
    155.88x = 232.68 × 137.66
  4. Step 4: Simplify right side
    155.88x = 32,030.73
  5. Step 5: Solve for x
    x = 32,030.73/155.88
  6. Step 6: Final answer
    x = 205.48

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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.