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Finding the Fourth Proportional to 206.88, 310.38 and 85.08

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Solution

The fourth proportional to 206.88, 310.38 and 85.08 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 310.38 = 85.08 : x
  2. Step 2: Convert to fraction form
    206.88/310.38 = 85.08/x
  3. Step 3: Cross multiply
    206.88x = 310.38 × 85.08
  4. Step 4: Simplify right side
    206.88x = 26,407.13
  5. Step 5: Solve for x
    x = 26,407.13/206.88
  6. Step 6: Final answer
    x = 127.64

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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.