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Finding the Fourth Proportional to 207.96, 311.84 and 99.70

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Solution

The fourth proportional to 207.96, 311.84 and 99.70 is: 149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 311.84 = 99.70 : x
  2. Step 2: Convert to fraction form
    207.96/311.84 = 99.70/x
  3. Step 3: Cross multiply
    207.96x = 311.84 × 99.70
  4. Step 4: Simplify right side
    207.96x = 31,090.45
  5. Step 5: Solve for x
    x = 31,090.45/207.96
  6. Step 6: Final answer
    x = 149.50

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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.