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Finding the Fourth Proportional to 223.98, 336.08 and 102.34

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Solution

The fourth proportional to 223.98, 336.08 and 102.34 is: 153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.98 : 336.08 = 102.34 : x
  2. Step 2: Convert to fraction form
    223.98/336.08 = 102.34/x
  3. Step 3: Cross multiply
    223.98x = 336.08 × 102.34
  4. Step 4: Simplify right side
    223.98x = 34,394.43
  5. Step 5: Solve for x
    x = 34,394.43/223.98
  6. Step 6: Final answer
    x = 153.56

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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.