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Finding the Fourth Proportional to 256.06, 383.79 and 133.95

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Solution

The fourth proportional to 256.06, 383.79 and 133.95 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 383.79 = 133.95 : x
  2. Step 2: Convert to fraction form
    256.06/383.79 = 133.95/x
  3. Step 3: Cross multiply
    256.06x = 383.79 × 133.95
  4. Step 4: Simplify right side
    256.06x = 51,409.86
  5. Step 5: Solve for x
    x = 51,409.86/256.06
  6. Step 6: Final answer
    x = 200.77

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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.