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Finding the Fourth Proportional to 314.15, 470.86 and 169.56

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Solution

The fourth proportional to 314.15, 470.86 and 169.56 is: 254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.15 : 470.86 = 169.56 : x
  2. Step 2: Convert to fraction form
    314.15/470.86 = 169.56/x
  3. Step 3: Cross multiply
    314.15x = 470.86 × 169.56
  4. Step 4: Simplify right side
    314.15x = 79,839.02
  5. Step 5: Solve for x
    x = 79,839.02/314.15
  6. Step 6: Final answer
    x = 254.14

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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.