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Finding the Fourth Proportional to 223.59, 308.43 and 174.45

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Solution

The fourth proportional to 223.59, 308.43 and 174.45 is: 240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.59 : 308.43 = 174.45 : x
  2. Step 2: Convert to fraction form
    223.59/308.43 = 174.45/x
  3. Step 3: Cross multiply
    223.59x = 308.43 × 174.45
  4. Step 4: Simplify right side
    223.59x = 53,805.61
  5. Step 5: Solve for x
    x = 53,805.61/223.59
  6. Step 6: Final answer
    x = 240.64

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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.