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Finding the Fourth Proportional to 153.87, 230.18 and 128.23

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Solution

The fourth proportional to 153.87, 230.18 and 128.23 is: 191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.87 : 230.18 = 128.23 : x
  2. Step 2: Convert to fraction form
    153.87/230.18 = 128.23/x
  3. Step 3: Cross multiply
    153.87x = 230.18 × 128.23
  4. Step 4: Simplify right side
    153.87x = 29,515.98
  5. Step 5: Solve for x
    x = 29,515.98/153.87
  6. Step 6: Final answer
    x = 191.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.