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Finding the Fourth Proportional to 223.74, 308.40 and 177.02

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Solution

The fourth proportional to 223.74, 308.40 and 177.02 is: 244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.74 : 308.40 = 177.02 : x
  2. Step 2: Convert to fraction form
    223.74/308.40 = 177.02/x
  3. Step 3: Cross multiply
    223.74x = 308.40 × 177.02
  4. Step 4: Simplify right side
    223.74x = 54,592.97
  5. Step 5: Solve for x
    x = 54,592.97/223.74
  6. Step 6: Final answer
    x = 244.00

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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.