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Finding the Fourth Proportional to 220.92, 305.10 and 174.36

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Solution

The fourth proportional to 220.92, 305.10 and 174.36 is: 240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.92 : 305.10 = 174.36 : x
  2. Step 2: Convert to fraction form
    220.92/305.10 = 174.36/x
  3. Step 3: Cross multiply
    220.92x = 305.10 × 174.36
  4. Step 4: Simplify right side
    220.92x = 53,197.24
  5. Step 5: Solve for x
    x = 53,197.24/220.92
  6. Step 6: Final answer
    x = 240.80

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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.