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Finding the Fourth Proportional to 223.88, 333.85 and 188.04

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Solution

The fourth proportional to 223.88, 333.85 and 188.04 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 333.85 = 188.04 : x
  2. Step 2: Convert to fraction form
    223.88/333.85 = 188.04/x
  3. Step 3: Cross multiply
    223.88x = 333.85 × 188.04
  4. Step 4: Simplify right side
    223.88x = 62,777.15
  5. Step 5: Solve for x
    x = 62,777.15/223.88
  6. Step 6: Final answer
    x = 280.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.