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Finding the Fourth Proportional to 174.24, 240.24 and 128.16

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Solution

The fourth proportional to 174.24, 240.24 and 128.16 is: 176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 240.24 = 128.16 : x
  2. Step 2: Convert to fraction form
    174.24/240.24 = 128.16/x
  3. Step 3: Cross multiply
    174.24x = 240.24 × 128.16
  4. Step 4: Simplify right side
    174.24x = 30,789.16
  5. Step 5: Solve for x
    x = 30,789.16/174.24
  6. Step 6: Final answer
    x = 176.71

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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.