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Finding the Fourth Proportional to 223.76, 335.75 and 102.11

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Solution

The fourth proportional to 223.76, 335.75 and 102.11 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.76 : 335.75 = 102.11 : x
  2. Step 2: Convert to fraction form
    223.76/335.75 = 102.11/x
  3. Step 3: Cross multiply
    223.76x = 335.75 × 102.11
  4. Step 4: Simplify right side
    223.76x = 34,283.13
  5. Step 5: Solve for x
    x = 34,283.13/223.76
  6. Step 6: Final answer
    x = 153.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.