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Finding the Fourth Proportional to 252.32, 348.31 and 154.11

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Solution

The fourth proportional to 252.32, 348.31 and 154.11 is: 212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 348.31 = 154.11 : x
  2. Step 2: Convert to fraction form
    252.32/348.31 = 154.11/x
  3. Step 3: Cross multiply
    252.32x = 348.31 × 154.11
  4. Step 4: Simplify right side
    252.32x = 53,678.05
  5. Step 5: Solve for x
    x = 53,678.05/252.32
  6. Step 6: Final answer
    x = 212.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.