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Finding the Fourth Proportional to 256.46, 384.70 and 195.96

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Solution

The fourth proportional to 256.46, 384.70 and 195.96 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.46 : 384.70 = 195.96 : x
  2. Step 2: Convert to fraction form
    256.46/384.70 = 195.96/x
  3. Step 3: Cross multiply
    256.46x = 384.70 × 195.96
  4. Step 4: Simplify right side
    256.46x = 75,385.81
  5. Step 5: Solve for x
    x = 75,385.81/256.46
  6. Step 6: Final answer
    x = 293.95

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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.