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Finding the Fourth Proportional to 256.63, 384.61 and 224.05

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Solution

The fourth proportional to 256.63, 384.61 and 224.05 is: 335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.63 : 384.61 = 224.05 : x
  2. Step 2: Convert to fraction form
    256.63/384.61 = 224.05/x
  3. Step 3: Cross multiply
    256.63x = 384.61 × 224.05
  4. Step 4: Simplify right side
    256.63x = 86,168.83
  5. Step 5: Solve for x
    x = 86,168.83/256.63
  6. Step 6: Final answer
    x = 335.77

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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.