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Finding the Fourth Proportional to 256.14, 383.76 and 195.12

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Solution

The fourth proportional to 256.14, 383.76 and 195.12 is: 292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 383.76 = 195.12 : x
  2. Step 2: Convert to fraction form
    256.14/383.76 = 195.12/x
  3. Step 3: Cross multiply
    256.14x = 383.76 × 195.12
  4. Step 4: Simplify right side
    256.14x = 74,879.25
  5. Step 5: Solve for x
    x = 74,879.25/256.14
  6. Step 6: Final answer
    x = 292.34

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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.