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Finding the Fourth Proportional to 342.11, 471.47 and 243.70

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Solution

The fourth proportional to 342.11, 471.47 and 243.70 is: 335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.11 : 471.47 = 243.70 : x
  2. Step 2: Convert to fraction form
    342.11/471.47 = 243.70/x
  3. Step 3: Cross multiply
    342.11x = 471.47 × 243.70
  4. Step 4: Simplify right side
    342.11x = 114,897.24
  5. Step 5: Solve for x
    x = 114,897.24/342.11
  6. Step 6: Final answer
    x = 335.85

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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.