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Finding the Fourth Proportional to 206.70, 310.14 and 98.52

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Solution

The fourth proportional to 206.70, 310.14 and 98.52 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 310.14 = 98.52 : x
  2. Step 2: Convert to fraction form
    206.70/310.14 = 98.52/x
  3. Step 3: Cross multiply
    206.70x = 310.14 × 98.52
  4. Step 4: Simplify right side
    206.70x = 30,554.99
  5. Step 5: Solve for x
    x = 30,554.99/206.70
  6. Step 6: Final answer
    x = 147.82

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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.