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Finding the Fourth Proportional to 223.40, 308.14 and 135.96

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Solution

The fourth proportional to 223.40, 308.14 and 135.96 is: 187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.40 : 308.14 = 135.96 : x
  2. Step 2: Convert to fraction form
    223.40/308.14 = 135.96/x
  3. Step 3: Cross multiply
    223.40x = 308.14 × 135.96
  4. Step 4: Simplify right side
    223.40x = 41,894.71
  5. Step 5: Solve for x
    x = 41,894.71/223.40
  6. Step 6: Final answer
    x = 187.53

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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.