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Finding the Fourth Proportional to 378, 567 and 256.14

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Solution

The fourth proportional to 378, 567 and 256.14 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 567 = 256.14 : x
  2. Step 2: Convert to fraction form
    378/567 = 256.14/x
  3. Step 3: Cross multiply
    378x = 567 × 256.14
  4. Step 4: Simplify right side
    378x = 145,231.38
  5. Step 5: Solve for x
    x = 145,231.38/378
  6. Step 6: Final answer
    x = 384.21

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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.