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Finding the Fourth Proportional to 314.16, 471.04 and 169.84

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Solution

The fourth proportional to 314.16, 471.04 and 169.84 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 471.04 = 169.84 : x
  2. Step 2: Convert to fraction form
    314.16/471.04 = 169.84/x
  3. Step 3: Cross multiply
    314.16x = 471.04 × 169.84
  4. Step 4: Simplify right side
    314.16x = 80,001.43
  5. Step 5: Solve for x
    x = 80,001.43/314.16
  6. Step 6: Final answer
    x = 254.65

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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.