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Finding the Fourth Proportional to 173.44, 260.33 and 117.84

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Solution

The fourth proportional to 173.44, 260.33 and 117.84 is: 176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.44 : 260.33 = 117.84 : x
  2. Step 2: Convert to fraction form
    173.44/260.33 = 117.84/x
  3. Step 3: Cross multiply
    173.44x = 260.33 × 117.84
  4. Step 4: Simplify right side
    173.44x = 30,677.47
  5. Step 5: Solve for x
    x = 30,677.47/173.44
  6. Step 6: Final answer
    x = 176.88

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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.