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Finding the Fourth Proportional to 316.07, 474.23 and 194.42

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Solution

The fourth proportional to 316.07, 474.23 and 194.42 is: 291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.07 : 474.23 = 194.42 : x
  2. Step 2: Convert to fraction form
    316.07/474.23 = 194.42/x
  3. Step 3: Cross multiply
    316.07x = 474.23 × 194.42
  4. Step 4: Simplify right side
    316.07x = 92,199.80
  5. Step 5: Solve for x
    x = 92,199.80/316.07
  6. Step 6: Final answer
    x = 291.71

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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.