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Finding the Fourth Proportional to 223.68, 308.61 and 149.88

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Solution

The fourth proportional to 223.68, 308.61 and 149.88 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.68 : 308.61 = 149.88 : x
  2. Step 2: Convert to fraction form
    223.68/308.61 = 149.88/x
  3. Step 3: Cross multiply
    223.68x = 308.61 × 149.88
  4. Step 4: Simplify right side
    223.68x = 46,254.47
  5. Step 5: Solve for x
    x = 46,254.47/223.68
  6. Step 6: Final answer
    x = 206.79

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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.