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Finding the Fourth Proportional to 223.80, 308.73 and 157.38

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Solution

The fourth proportional to 223.80, 308.73 and 157.38 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.80 : 308.73 = 157.38 : x
  2. Step 2: Convert to fraction form
    223.80/308.73 = 157.38/x
  3. Step 3: Cross multiply
    223.80x = 308.73 × 157.38
  4. Step 4: Simplify right side
    223.80x = 48,587.93
  5. Step 5: Solve for x
    x = 48,587.93/223.80
  6. Step 6: Final answer
    x = 217.10

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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.