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Finding the Fourth Proportional to 206.85, 310.16 and 98.64

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Solution

The fourth proportional to 206.85, 310.16 and 98.64 is: 147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 310.16 = 98.64 : x
  2. Step 2: Convert to fraction form
    206.85/310.16 = 98.64/x
  3. Step 3: Cross multiply
    206.85x = 310.16 × 98.64
  4. Step 4: Simplify right side
    206.85x = 30,594.18
  5. Step 5: Solve for x
    x = 30,594.18/206.85
  6. Step 6: Final answer
    x = 147.91

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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.