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Finding the Fourth Proportional to 173.72, 260.66 and 159.64

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Solution

The fourth proportional to 173.72, 260.66 and 159.64 is: 239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.72 : 260.66 = 159.64 : x
  2. Step 2: Convert to fraction form
    173.72/260.66 = 159.64/x
  3. Step 3: Cross multiply
    173.72x = 260.66 × 159.64
  4. Step 4: Simplify right side
    173.72x = 41,611.76
  5. Step 5: Solve for x
    x = 41,611.76/173.72
  6. Step 6: Final answer
    x = 239.53

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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.