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Finding the Fourth Proportional to 152.38, 229.44 and 112.08

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Solution

The fourth proportional to 152.38, 229.44 and 112.08 is: 168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 229.44 = 112.08 : x
  2. Step 2: Convert to fraction form
    152.38/229.44 = 112.08/x
  3. Step 3: Cross multiply
    152.38x = 229.44 × 112.08
  4. Step 4: Simplify right side
    152.38x = 25,715.64
  5. Step 5: Solve for x
    x = 25,715.64/152.38
  6. Step 6: Final answer
    x = 168.76

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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.