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Finding the Fourth Proportional to 223.82, 308.78 and 135.34

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Solution

The fourth proportional to 223.82, 308.78 and 135.34 is: 186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.82 : 308.78 = 135.34 : x
  2. Step 2: Convert to fraction form
    223.82/308.78 = 135.34/x
  3. Step 3: Cross multiply
    223.82x = 308.78 × 135.34
  4. Step 4: Simplify right side
    223.82x = 41,788.06
  5. Step 5: Solve for x
    x = 41,788.06/223.82
  6. Step 6: Final answer
    x = 186.70

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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.