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Finding the Fourth Proportional to 256.40, 384.30 and 147.96

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Solution

The fourth proportional to 256.40, 384.30 and 147.96 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 384.30 = 147.96 : x
  2. Step 2: Convert to fraction form
    256.40/384.30 = 147.96/x
  3. Step 3: Cross multiply
    256.40x = 384.30 × 147.96
  4. Step 4: Simplify right side
    256.40x = 56,861.03
  5. Step 5: Solve for x
    x = 56,861.03/256.40
  6. Step 6: Final answer
    x = 221.77

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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.