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Finding the Fourth Proportional to 173.53, 260.40 and 86.86

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Solution

The fourth proportional to 173.53, 260.40 and 86.86 is: 130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.53 : 260.40 = 86.86 : x
  2. Step 2: Convert to fraction form
    173.53/260.40 = 86.86/x
  3. Step 3: Cross multiply
    173.53x = 260.40 × 86.86
  4. Step 4: Simplify right side
    173.53x = 22,618.34
  5. Step 5: Solve for x
    x = 22,618.34/173.53
  6. Step 6: Final answer
    x = 130.34

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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.