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Finding the Fourth Proportional to 174.44, 260.36 and 153.94

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Solution

The fourth proportional to 174.44, 260.36 and 153.94 is: 229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.44 : 260.36 = 153.94 : x
  2. Step 2: Convert to fraction form
    174.44/260.36 = 153.94/x
  3. Step 3: Cross multiply
    174.44x = 260.36 × 153.94
  4. Step 4: Simplify right side
    174.44x = 40,079.82
  5. Step 5: Solve for x
    x = 40,079.82/174.44
  6. Step 6: Final answer
    x = 229.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.