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Finding the Fourth Proportional to 174.55, 261.72 and 78.25

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Solution

The fourth proportional to 174.55, 261.72 and 78.25 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.55 : 261.72 = 78.25 : x
  2. Step 2: Convert to fraction form
    174.55/261.72 = 78.25/x
  3. Step 3: Cross multiply
    174.55x = 261.72 × 78.25
  4. Step 4: Simplify right side
    174.55x = 20,479.59
  5. Step 5: Solve for x
    x = 20,479.59/174.55
  6. Step 6: Final answer
    x = 117.33

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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.