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Finding the Fourth Proportional to 247.83, 342.08 and 154.55

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Solution

The fourth proportional to 247.83, 342.08 and 154.55 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.83 : 342.08 = 154.55 : x
  2. Step 2: Convert to fraction form
    247.83/342.08 = 154.55/x
  3. Step 3: Cross multiply
    247.83x = 342.08 × 154.55
  4. Step 4: Simplify right side
    247.83x = 52,865.98
  5. Step 5: Solve for x
    x = 52,865.98/247.83
  6. Step 6: Final answer
    x = 213.32

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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.