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Finding the Fourth Proportional to 152.48, 227.26 and 152.22

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Solution

The fourth proportional to 152.48, 227.26 and 152.22 is: 226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.48 : 227.26 = 152.22 : x
  2. Step 2: Convert to fraction form
    152.48/227.26 = 152.22/x
  3. Step 3: Cross multiply
    152.48x = 227.26 × 152.22
  4. Step 4: Simplify right side
    152.48x = 34,593.52
  5. Step 5: Solve for x
    x = 34,593.52/152.48
  6. Step 6: Final answer
    x = 226.87

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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.