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Finding the Fourth Proportional to 223.40, 308.36 and 136.06

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Solution

The fourth proportional to 223.40, 308.36 and 136.06 is: 187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.40 : 308.36 = 136.06 : x
  2. Step 2: Convert to fraction form
    223.40/308.36 = 136.06/x
  3. Step 3: Cross multiply
    223.40x = 308.36 × 136.06
  4. Step 4: Simplify right side
    223.40x = 41,955.46
  5. Step 5: Solve for x
    x = 41,955.46/223.40
  6. Step 6: Final answer
    x = 187.80

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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.