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Finding the Fourth Proportional to 173.80, 260.36 and 112.80

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Solution

The fourth proportional to 173.80, 260.36 and 112.80 is: 168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.80 : 260.36 = 112.80 : x
  2. Step 2: Convert to fraction form
    173.80/260.36 = 112.80/x
  3. Step 3: Cross multiply
    173.80x = 260.36 × 112.80
  4. Step 4: Simplify right side
    173.80x = 29,368.61
  5. Step 5: Solve for x
    x = 29,368.61/173.80
  6. Step 6: Final answer
    x = 168.98

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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.