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Finding the Fourth Proportional to 174.64, 240.81 and 119.28

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Solution

The fourth proportional to 174.64, 240.81 and 119.28 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.64 : 240.81 = 119.28 : x
  2. Step 2: Convert to fraction form
    174.64/240.81 = 119.28/x
  3. Step 3: Cross multiply
    174.64x = 240.81 × 119.28
  4. Step 4: Simplify right side
    174.64x = 28,723.82
  5. Step 5: Solve for x
    x = 28,723.82/174.64
  6. Step 6: Final answer
    x = 164.47

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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.