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Finding the Fourth Proportional to 155.84, 232.61 and 132.84

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Solution

The fourth proportional to 155.84, 232.61 and 132.84 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 232.61 = 132.84 : x
  2. Step 2: Convert to fraction form
    155.84/232.61 = 132.84/x
  3. Step 3: Cross multiply
    155.84x = 232.61 × 132.84
  4. Step 4: Simplify right side
    155.84x = 30,899.25
  5. Step 5: Solve for x
    x = 30,899.25/155.84
  6. Step 6: Final answer
    x = 198.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.