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Finding the Fourth Proportional to 207.16, 310.13 and 170.71

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Solution

The fourth proportional to 207.16, 310.13 and 170.71 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 310.13 = 170.71 : x
  2. Step 2: Convert to fraction form
    207.16/310.13 = 170.71/x
  3. Step 3: Cross multiply
    207.16x = 310.13 × 170.71
  4. Step 4: Simplify right side
    207.16x = 52,941.30
  5. Step 5: Solve for x
    x = 52,941.30/207.16
  6. Step 6: Final answer
    x = 255.56

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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.