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Finding the Fourth Proportional to 174.40, 261.03 and 120.13

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Solution

The fourth proportional to 174.40, 261.03 and 120.13 is: 179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 261.03 = 120.13 : x
  2. Step 2: Convert to fraction form
    174.40/261.03 = 120.13/x
  3. Step 3: Cross multiply
    174.40x = 261.03 × 120.13
  4. Step 4: Simplify right side
    174.40x = 31,357.53
  5. Step 5: Solve for x
    x = 31,357.53/174.40
  6. Step 6: Final answer
    x = 179.80

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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.