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Finding the Fourth Proportional to 207.68, 310.20 and 175.28

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Solution

The fourth proportional to 207.68, 310.20 and 175.28 is: 261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.68 : 310.20 = 175.28 : x
  2. Step 2: Convert to fraction form
    207.68/310.20 = 175.28/x
  3. Step 3: Cross multiply
    207.68x = 310.20 × 175.28
  4. Step 4: Simplify right side
    207.68x = 54,371.86
  5. Step 5: Solve for x
    x = 54,371.86/207.68
  6. Step 6: Final answer
    x = 261.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.