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Finding the Fourth Proportional to 173.67, 260.40 and 86.82

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Solution

The fourth proportional to 173.67, 260.40 and 86.82 is: 130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.67 : 260.40 = 86.82 : x
  2. Step 2: Convert to fraction form
    173.67/260.40 = 86.82/x
  3. Step 3: Cross multiply
    173.67x = 260.40 × 86.82
  4. Step 4: Simplify right side
    173.67x = 22,607.93
  5. Step 5: Solve for x
    x = 22,607.93/173.67
  6. Step 6: Final answer
    x = 130.18

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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.