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Finding the Fourth Proportional to 173.52, 260.30 and 76.04

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Solution

The fourth proportional to 173.52, 260.30 and 76.04 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.52 : 260.30 = 76.04 : x
  2. Step 2: Convert to fraction form
    173.52/260.30 = 76.04/x
  3. Step 3: Cross multiply
    173.52x = 260.30 × 76.04
  4. Step 4: Simplify right side
    173.52x = 19,793.48
  5. Step 5: Solve for x
    x = 19,793.48/173.52
  6. Step 6: Final answer
    x = 114.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.