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Finding the Fourth Proportional to 207.83, 311.81 and 86.10

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Solution

The fourth proportional to 207.83, 311.81 and 86.10 is: 129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 311.81 = 86.10 : x
  2. Step 2: Convert to fraction form
    207.83/311.81 = 86.10/x
  3. Step 3: Cross multiply
    207.83x = 311.81 × 86.10
  4. Step 4: Simplify right side
    207.83x = 26,848.23
  5. Step 5: Solve for x
    x = 26,848.23/207.83
  6. Step 6: Final answer
    x = 129.18

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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.