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Finding the Fourth Proportional to 152.44, 227.70 and 125.08

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Solution

The fourth proportional to 152.44, 227.70 and 125.08 is: 186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 227.70 = 125.08 : x
  2. Step 2: Convert to fraction form
    152.44/227.70 = 125.08/x
  3. Step 3: Cross multiply
    152.44x = 227.70 × 125.08
  4. Step 4: Simplify right side
    152.44x = 28,480.72
  5. Step 5: Solve for x
    x = 28,480.72/152.44
  6. Step 6: Final answer
    x = 186.83

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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.