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Finding the Fourth Proportional to 220.49, 304.04 and 150.56

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Solution

The fourth proportional to 220.49, 304.04 and 150.56 is: 207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.49 : 304.04 = 150.56 : x
  2. Step 2: Convert to fraction form
    220.49/304.04 = 150.56/x
  3. Step 3: Cross multiply
    220.49x = 304.04 × 150.56
  4. Step 4: Simplify right side
    220.49x = 45,776.27
  5. Step 5: Solve for x
    x = 45,776.27/220.49
  6. Step 6: Final answer
    x = 207.61

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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.