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Finding the Fourth Proportional to 152.24, 227.16 and 136.04

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Solution

The fourth proportional to 152.24, 227.16 and 136.04 is: 202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 227.16 = 136.04 : x
  2. Step 2: Convert to fraction form
    152.24/227.16 = 136.04/x
  3. Step 3: Cross multiply
    152.24x = 227.16 × 136.04
  4. Step 4: Simplify right side
    152.24x = 30,902.85
  5. Step 5: Solve for x
    x = 30,902.85/152.24
  6. Step 6: Final answer
    x = 202.99

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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.