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Finding the Fourth Proportional to 256.26, 383.81 and 140.57

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Solution

The fourth proportional to 256.26, 383.81 and 140.57 is: 210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 383.81 = 140.57 : x
  2. Step 2: Convert to fraction form
    256.26/383.81 = 140.57/x
  3. Step 3: Cross multiply
    256.26x = 383.81 × 140.57
  4. Step 4: Simplify right side
    256.26x = 53,950.99
  5. Step 5: Solve for x
    x = 53,950.99/256.26
  6. Step 6: Final answer
    x = 210.53

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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.