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Finding the Fourth Proportional to 256.95, 385.34 and 94.59

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Solution

The fourth proportional to 256.95, 385.34 and 94.59 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 385.34 = 94.59 : x
  2. Step 2: Convert to fraction form
    256.95/385.34 = 94.59/x
  3. Step 3: Cross multiply
    256.95x = 385.34 × 94.59
  4. Step 4: Simplify right side
    256.95x = 36,449.31
  5. Step 5: Solve for x
    x = 36,449.31/256.95
  6. Step 6: Final answer
    x = 141.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.