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Finding the Fourth Proportional to 256.41, 354.14 and 173.38

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Solution

The fourth proportional to 256.41, 354.14 and 173.38 is: 239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 354.14 = 173.38 : x
  2. Step 2: Convert to fraction form
    256.41/354.14 = 173.38/x
  3. Step 3: Cross multiply
    256.41x = 354.14 × 173.38
  4. Step 4: Simplify right side
    256.41x = 61,400.79
  5. Step 5: Solve for x
    x = 61,400.79/256.41
  6. Step 6: Final answer
    x = 239.46

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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.