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Finding the Fourth Proportional to 223.45, 308.45 and 147.73

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Solution

The fourth proportional to 223.45, 308.45 and 147.73 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.45 : 308.45 = 147.73 : x
  2. Step 2: Convert to fraction form
    223.45/308.45 = 147.73/x
  3. Step 3: Cross multiply
    223.45x = 308.45 × 147.73
  4. Step 4: Simplify right side
    223.45x = 45,567.32
  5. Step 5: Solve for x
    x = 45,567.32/223.45
  6. Step 6: Final answer
    x = 203.93

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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.