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Finding the Fourth Proportional to 207.10, 310.56 and 98.80

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Solution

The fourth proportional to 207.10, 310.56 and 98.80 is: 148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.10 : 310.56 = 98.80 : x
  2. Step 2: Convert to fraction form
    207.10/310.56 = 98.80/x
  3. Step 3: Cross multiply
    207.10x = 310.56 × 98.80
  4. Step 4: Simplify right side
    207.10x = 30,683.33
  5. Step 5: Solve for x
    x = 30,683.33/207.10
  6. Step 6: Final answer
    x = 148.16

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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.