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Finding the Fourth Proportional to 249.84, 374.93 and 141.71

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Solution

The fourth proportional to 249.84, 374.93 and 141.71 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 374.93 = 141.71 : x
  2. Step 2: Convert to fraction form
    249.84/374.93 = 141.71/x
  3. Step 3: Cross multiply
    249.84x = 374.93 × 141.71
  4. Step 4: Simplify right side
    249.84x = 53,128.75
  5. Step 5: Solve for x
    x = 53,128.75/249.84
  6. Step 6: Final answer
    x = 212.65

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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.