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Finding the Fourth Proportional to 343.81, 515.66 and 112.71

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Solution

The fourth proportional to 343.81, 515.66 and 112.71 is: 169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.81 : 515.66 = 112.71 : x
  2. Step 2: Convert to fraction form
    343.81/515.66 = 112.71/x
  3. Step 3: Cross multiply
    343.81x = 515.66 × 112.71
  4. Step 4: Simplify right side
    343.81x = 58,117.46
  5. Step 5: Solve for x
    x = 58,117.46/343.81
  6. Step 6: Final answer
    x = 169.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.