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Finding the Fourth Proportional to 256.23, 384.63 and 198.71

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Solution

The fourth proportional to 256.23, 384.63 and 198.71 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 384.63 = 198.71 : x
  2. Step 2: Convert to fraction form
    256.23/384.63 = 198.71/x
  3. Step 3: Cross multiply
    256.23x = 384.63 × 198.71
  4. Step 4: Simplify right side
    256.23x = 76,427.90
  5. Step 5: Solve for x
    x = 76,427.90/256.23
  6. Step 6: Final answer
    x = 298.28

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Why These Related Problems?

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