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Finding the Fourth Proportional to 256.49, 384.45 and 195.42

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Solution

The fourth proportional to 256.49, 384.45 and 195.42 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 384.45 = 195.42 : x
  2. Step 2: Convert to fraction form
    256.49/384.45 = 195.42/x
  3. Step 3: Cross multiply
    256.49x = 384.45 × 195.42
  4. Step 4: Simplify right side
    256.49x = 75,129.22
  5. Step 5: Solve for x
    x = 75,129.22/256.49
  6. Step 6: Final answer
    x = 292.91

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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.