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Finding the Fourth Proportional to 173.52, 261.14 and 156.74

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Solution

The fourth proportional to 173.52, 261.14 and 156.74 is: 235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.52 : 261.14 = 156.74 : x
  2. Step 2: Convert to fraction form
    173.52/261.14 = 156.74/x
  3. Step 3: Cross multiply
    173.52x = 261.14 × 156.74
  4. Step 4: Simplify right side
    173.52x = 40,928.99
  5. Step 5: Solve for x
    x = 40,928.99/173.52
  6. Step 6: Final answer
    x = 235.87

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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.