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Finding the Fourth Proportional to 220.13, 303.54 and 157.85

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Solution

The fourth proportional to 220.13, 303.54 and 157.85 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 303.54 = 157.85 : x
  2. Step 2: Convert to fraction form
    220.13/303.54 = 157.85/x
  3. Step 3: Cross multiply
    220.13x = 303.54 × 157.85
  4. Step 4: Simplify right side
    220.13x = 47,913.79
  5. Step 5: Solve for x
    x = 47,913.79/220.13
  6. Step 6: Final answer
    x = 217.66

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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.