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Finding the Fourth Proportional to 174.40, 240.77 and 111.46

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Solution

The fourth proportional to 174.40, 240.77 and 111.46 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 240.77 = 111.46 : x
  2. Step 2: Convert to fraction form
    174.40/240.77 = 111.46/x
  3. Step 3: Cross multiply
    174.40x = 240.77 × 111.46
  4. Step 4: Simplify right side
    174.40x = 26,836.35
  5. Step 5: Solve for x
    x = 26,836.35/174.40
  6. Step 6: Final answer
    x = 153.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.