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Finding the Fourth Proportional to 223.64, 308.69 and 135.11

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Solution

The fourth proportional to 223.64, 308.69 and 135.11 is: 186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.64 : 308.69 = 135.11 : x
  2. Step 2: Convert to fraction form
    223.64/308.69 = 135.11/x
  3. Step 3: Cross multiply
    223.64x = 308.69 × 135.11
  4. Step 4: Simplify right side
    223.64x = 41,707.28
  5. Step 5: Solve for x
    x = 41,707.28/223.64
  6. Step 6: Final answer
    x = 186.49

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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.