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Finding the Fourth Proportional to 206.96, 310.57 and 114.45

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Solution

The fourth proportional to 206.96, 310.57 and 114.45 is: 171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 310.57 = 114.45 : x
  2. Step 2: Convert to fraction form
    206.96/310.57 = 114.45/x
  3. Step 3: Cross multiply
    206.96x = 310.57 × 114.45
  4. Step 4: Simplify right side
    206.96x = 35,543.18
  5. Step 5: Solve for x
    x = 35,543.18/206.96
  6. Step 6: Final answer
    x = 171.74

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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.