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Finding the Fourth Proportional to 155.28, 234.08 and 153.12

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Solution

The fourth proportional to 155.28, 234.08 and 153.12 is: 230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.28 : 234.08 = 153.12 : x
  2. Step 2: Convert to fraction form
    155.28/234.08 = 153.12/x
  3. Step 3: Cross multiply
    155.28x = 234.08 × 153.12
  4. Step 4: Simplify right side
    155.28x = 35,841.56
  5. Step 5: Solve for x
    x = 35,841.56/155.28
  6. Step 6: Final answer
    x = 230.82

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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.