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Finding the Fourth Proportional to 502.83, 754.13 and 194.67

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Solution

The fourth proportional to 502.83, 754.13 and 194.67 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.83 : 754.13 = 194.67 : x
  2. Step 2: Convert to fraction form
    502.83/754.13 = 194.67/x
  3. Step 3: Cross multiply
    502.83x = 754.13 × 194.67
  4. Step 4: Simplify right side
    502.83x = 146,806.97
  5. Step 5: Solve for x
    x = 146,806.97/502.83
  6. Step 6: Final answer
    x = 291.96

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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.