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Finding the Fourth Proportional to 256.24, 353.55 and 173.62

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Solution

The fourth proportional to 256.24, 353.55 and 173.62 is: 239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 353.55 = 173.62 : x
  2. Step 2: Convert to fraction form
    256.24/353.55 = 173.62/x
  3. Step 3: Cross multiply
    256.24x = 353.55 × 173.62
  4. Step 4: Simplify right side
    256.24x = 61,383.35
  5. Step 5: Solve for x
    x = 61,383.35/256.24
  6. Step 6: Final answer
    x = 239.55

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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.