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Finding the Fourth Proportional to 256.26, 384.20 and 183.12

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Solution

The fourth proportional to 256.26, 384.20 and 183.12 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 384.20 = 183.12 : x
  2. Step 2: Convert to fraction form
    256.26/384.20 = 183.12/x
  3. Step 3: Cross multiply
    256.26x = 384.20 × 183.12
  4. Step 4: Simplify right side
    256.26x = 70,354.70
  5. Step 5: Solve for x
    x = 70,354.70/256.26
  6. Step 6: Final answer
    x = 274.54

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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.