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Finding the Fourth Proportional to 515.79, 773.74 and 169.16

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Solution

The fourth proportional to 515.79, 773.74 and 169.16 is: 253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.79 : 773.74 = 169.16 : x
  2. Step 2: Convert to fraction form
    515.79/773.74 = 169.16/x
  3. Step 3: Cross multiply
    515.79x = 773.74 × 169.16
  4. Step 4: Simplify right side
    515.79x = 130,882.20
  5. Step 5: Solve for x
    x = 130,882.20/515.79
  6. Step 6: Final answer
    x = 253.75

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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.