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Finding the Fourth Proportional to 220.50, 304.38 and 158.34

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Solution

The fourth proportional to 220.50, 304.38 and 158.34 is: 218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 304.38 = 158.34 : x
  2. Step 2: Convert to fraction form
    220.50/304.38 = 158.34/x
  3. Step 3: Cross multiply
    220.50x = 304.38 × 158.34
  4. Step 4: Simplify right side
    220.50x = 48,195.53
  5. Step 5: Solve for x
    x = 48,195.53/220.50
  6. Step 6: Final answer
    x = 218.57

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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.