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Finding the Fourth Proportional to 174.33, 261.78 and 122.48

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Solution

The fourth proportional to 174.33, 261.78 and 122.48 is: 183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.33 : 261.78 = 122.48 : x
  2. Step 2: Convert to fraction form
    174.33/261.78 = 122.48/x
  3. Step 3: Cross multiply
    174.33x = 261.78 × 122.48
  4. Step 4: Simplify right side
    174.33x = 32,061.51
  5. Step 5: Solve for x
    x = 32,061.51/174.33
  6. Step 6: Final answer
    x = 183.91

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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.