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Finding the Fourth Proportional to 174.34, 261.61 and 102.25

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Solution

The fourth proportional to 174.34, 261.61 and 102.25 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.34 : 261.61 = 102.25 : x
  2. Step 2: Convert to fraction form
    174.34/261.61 = 102.25/x
  3. Step 3: Cross multiply
    174.34x = 261.61 × 102.25
  4. Step 4: Simplify right side
    174.34x = 26,749.62
  5. Step 5: Solve for x
    x = 26,749.62/174.34
  6. Step 6: Final answer
    x = 153.43

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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.