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Finding the Fourth Proportional to 314.27, 471.13 and 185.75

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Solution

The fourth proportional to 314.27, 471.13 and 185.75 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.27 : 471.13 = 185.75 : x
  2. Step 2: Convert to fraction form
    314.27/471.13 = 185.75/x
  3. Step 3: Cross multiply
    314.27x = 471.13 × 185.75
  4. Step 4: Simplify right side
    314.27x = 87,512.40
  5. Step 5: Solve for x
    x = 87,512.40/314.27
  6. Step 6: Final answer
    x = 278.46

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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.