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Finding the Fourth Proportional to 256.04, 353.04 and 173.12

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Solution

The fourth proportional to 256.04, 353.04 and 173.12 is: 238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 353.04 = 173.12 : x
  2. Step 2: Convert to fraction form
    256.04/353.04 = 173.12/x
  3. Step 3: Cross multiply
    256.04x = 353.04 × 173.12
  4. Step 4: Simplify right side
    256.04x = 61,118.28
  5. Step 5: Solve for x
    x = 61,118.28/256.04
  6. Step 6: Final answer
    x = 238.71

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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.