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Finding the Fourth Proportional to 207.01, 310.14 and 98.65

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Solution

The fourth proportional to 207.01, 310.14 and 98.65 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.01 : 310.14 = 98.65 : x
  2. Step 2: Convert to fraction form
    207.01/310.14 = 98.65/x
  3. Step 3: Cross multiply
    207.01x = 310.14 × 98.65
  4. Step 4: Simplify right side
    207.01x = 30,595.31
  5. Step 5: Solve for x
    x = 30,595.31/207.01
  6. Step 6: Final answer
    x = 147.80

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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.