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Finding the Fourth Proportional to 247.96, 342.24 and 154.74

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Solution

The fourth proportional to 247.96, 342.24 and 154.74 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.96 : 342.24 = 154.74 : x
  2. Step 2: Convert to fraction form
    247.96/342.24 = 154.74/x
  3. Step 3: Cross multiply
    247.96x = 342.24 × 154.74
  4. Step 4: Simplify right side
    247.96x = 52,958.22
  5. Step 5: Solve for x
    x = 52,958.22/247.96
  6. Step 6: Final answer
    x = 213.58

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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.