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Finding the Fourth Proportional to 247.70, 342.42 and 189.38

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Solution

The fourth proportional to 247.70, 342.42 and 189.38 is: 261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 342.42 = 189.38 : x
  2. Step 2: Convert to fraction form
    247.70/342.42 = 189.38/x
  3. Step 3: Cross multiply
    247.70x = 342.42 × 189.38
  4. Step 4: Simplify right side
    247.70x = 64,847.50
  5. Step 5: Solve for x
    x = 64,847.50/247.70
  6. Step 6: Final answer
    x = 261.80

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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.