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Finding the Fourth Proportional to 223.97, 309.22 and 177.53

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Solution

The fourth proportional to 223.97, 309.22 and 177.53 is: 245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.97 : 309.22 = 177.53 : x
  2. Step 2: Convert to fraction form
    223.97/309.22 = 177.53/x
  3. Step 3: Cross multiply
    223.97x = 309.22 × 177.53
  4. Step 4: Simplify right side
    223.97x = 54,893.84
  5. Step 5: Solve for x
    x = 54,893.84/223.97
  6. Step 6: Final answer
    x = 245.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.