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Finding the Fourth Proportional to 261.44, 391.34 and 174.60

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Solution

The fourth proportional to 261.44, 391.34 and 174.60 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 391.34 = 174.60 : x
  2. Step 2: Convert to fraction form
    261.44/391.34 = 174.60/x
  3. Step 3: Cross multiply
    261.44x = 391.34 × 174.60
  4. Step 4: Simplify right side
    261.44x = 68,327.96
  5. Step 5: Solve for x
    x = 68,327.96/261.44
  6. Step 6: Final answer
    x = 261.35

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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.