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Finding the Fourth Proportional to 206.93, 310.51 and 91.46

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Solution

The fourth proportional to 206.93, 310.51 and 91.46 is: 137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 310.51 = 91.46 : x
  2. Step 2: Convert to fraction form
    206.93/310.51 = 91.46/x
  3. Step 3: Cross multiply
    206.93x = 310.51 × 91.46
  4. Step 4: Simplify right side
    206.93x = 28,398.70
  5. Step 5: Solve for x
    x = 28,398.70/206.93
  6. Step 6: Final answer
    x = 137.24

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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.