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Finding the Fourth Proportional to 174.58, 261.64 and 113.68

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Solution

The fourth proportional to 174.58, 261.64 and 113.68 is: 170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.58 : 261.64 = 113.68 : x
  2. Step 2: Convert to fraction form
    174.58/261.64 = 113.68/x
  3. Step 3: Cross multiply
    174.58x = 261.64 × 113.68
  4. Step 4: Simplify right side
    174.58x = 29,743.24
  5. Step 5: Solve for x
    x = 29,743.24/174.58
  6. Step 6: Final answer
    x = 170.37

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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.