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Finding the Fourth Proportional to 208.23, 312.30 and 86.52

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Solution

The fourth proportional to 208.23, 312.30 and 86.52 is: 129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 312.30 = 86.52 : x
  2. Step 2: Convert to fraction form
    208.23/312.30 = 86.52/x
  3. Step 3: Cross multiply
    208.23x = 312.30 × 86.52
  4. Step 4: Simplify right side
    208.23x = 27,020.20
  5. Step 5: Solve for x
    x = 27,020.20/208.23
  6. Step 6: Final answer
    x = 129.76

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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.