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Finding the Fourth Proportional to 152.43, 227.31 and 135.83

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Solution

The fourth proportional to 152.43, 227.31 and 135.83 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.43 : 227.31 = 135.83 : x
  2. Step 2: Convert to fraction form
    152.43/227.31 = 135.83/x
  3. Step 3: Cross multiply
    152.43x = 227.31 × 135.83
  4. Step 4: Simplify right side
    152.43x = 30,875.52
  5. Step 5: Solve for x
    x = 30,875.52/152.43
  6. Step 6: Final answer
    x = 202.56

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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.