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Finding the Fourth Proportional to 256.56, 384.83 and 98.25

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Solution

The fourth proportional to 256.56, 384.83 and 98.25 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 384.83 = 98.25 : x
  2. Step 2: Convert to fraction form
    256.56/384.83 = 98.25/x
  3. Step 3: Cross multiply
    256.56x = 384.83 × 98.25
  4. Step 4: Simplify right side
    256.56x = 37,809.55
  5. Step 5: Solve for x
    x = 37,809.55/256.56
  6. Step 6: Final answer
    x = 147.37

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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.