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Finding the Fourth Proportional to 256.74, 384.83 and 195.67

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Solution

The fourth proportional to 256.74, 384.83 and 195.67 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 384.83 = 195.67 : x
  2. Step 2: Convert to fraction form
    256.74/384.83 = 195.67/x
  3. Step 3: Cross multiply
    256.74x = 384.83 × 195.67
  4. Step 4: Simplify right side
    256.74x = 75,298.71
  5. Step 5: Solve for x
    x = 75,298.71/256.74
  6. Step 6: Final answer
    x = 293.29

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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.