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Finding the Fourth Proportional to 174.46, 261.81 and 78.28

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Solution

The fourth proportional to 174.46, 261.81 and 78.28 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.46 : 261.81 = 78.28 : x
  2. Step 2: Convert to fraction form
    174.46/261.81 = 78.28/x
  3. Step 3: Cross multiply
    174.46x = 261.81 × 78.28
  4. Step 4: Simplify right side
    174.46x = 20,494.49
  5. Step 5: Solve for x
    x = 20,494.49/174.46
  6. Step 6: Final answer
    x = 117.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.