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Finding the Fourth Proportional to 223.04, 307.52 and 189.78

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Solution

The fourth proportional to 223.04, 307.52 and 189.78 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.04 : 307.52 = 189.78 : x
  2. Step 2: Convert to fraction form
    223.04/307.52 = 189.78/x
  3. Step 3: Cross multiply
    223.04x = 307.52 × 189.78
  4. Step 4: Simplify right side
    223.04x = 58,361.15
  5. Step 5: Solve for x
    x = 58,361.15/223.04
  6. Step 6: Final answer
    x = 261.66

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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.