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Finding the Fourth Proportional to 256.42, 383.96 and 153.46

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Solution

The fourth proportional to 256.42, 383.96 and 153.46 is: 229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 383.96 = 153.46 : x
  2. Step 2: Convert to fraction form
    256.42/383.96 = 153.46/x
  3. Step 3: Cross multiply
    256.42x = 383.96 × 153.46
  4. Step 4: Simplify right side
    256.42x = 58,921.73
  5. Step 5: Solve for x
    x = 58,921.73/256.42
  6. Step 6: Final answer
    x = 229.79

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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.