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Finding the Fourth Proportional to 223.41, 308.30 and 136.07

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Solution

The fourth proportional to 223.41, 308.30 and 136.07 is: 187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.41 : 308.30 = 136.07 : x
  2. Step 2: Convert to fraction form
    223.41/308.30 = 136.07/x
  3. Step 3: Cross multiply
    223.41x = 308.30 × 136.07
  4. Step 4: Simplify right side
    223.41x = 41,948.16
  5. Step 5: Solve for x
    x = 41,948.16/223.41
  6. Step 6: Final answer
    x = 187.76

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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.