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Finding the Fourth Proportional to 264.89, 394.74 and 256.18

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Solution

The fourth proportional to 264.89, 394.74 and 256.18 is: 381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.89 : 394.74 = 256.18 : x
  2. Step 2: Convert to fraction form
    264.89/394.74 = 256.18/x
  3. Step 3: Cross multiply
    264.89x = 394.74 × 256.18
  4. Step 4: Simplify right side
    264.89x = 101,122.55
  5. Step 5: Solve for x
    x = 101,122.55/264.89
  6. Step 6: Final answer
    x = 381.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.