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Finding the Fourth Proportional to 155.88, 232.26 and 138.84

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Solution

The fourth proportional to 155.88, 232.26 and 138.84 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 232.26 = 138.84 : x
  2. Step 2: Convert to fraction form
    155.88/232.26 = 138.84/x
  3. Step 3: Cross multiply
    155.88x = 232.26 × 138.84
  4. Step 4: Simplify right side
    155.88x = 32,246.98
  5. Step 5: Solve for x
    x = 32,246.98/155.88
  6. Step 6: Final answer
    x = 206.87

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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.