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Finding the Fourth Proportional to 174.58, 261.96 and 78.38

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Solution

The fourth proportional to 174.58, 261.96 and 78.38 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.58 : 261.96 = 78.38 : x
  2. Step 2: Convert to fraction form
    174.58/261.96 = 78.38/x
  3. Step 3: Cross multiply
    174.58x = 261.96 × 78.38
  4. Step 4: Simplify right side
    174.58x = 20,532.42
  5. Step 5: Solve for x
    x = 20,532.42/174.58
  6. Step 6: Final answer
    x = 117.61

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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.