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Finding the Fourth Proportional to 256.83, 385 and 110.49

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Solution

The fourth proportional to 256.83, 385 and 110.49 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.83 : 385 = 110.49 : x
  2. Step 2: Convert to fraction form
    256.83/385 = 110.49/x
  3. Step 3: Cross multiply
    256.83x = 385 × 110.49
  4. Step 4: Simplify right side
    256.83x = 42,538.65
  5. Step 5: Solve for x
    x = 42,538.65/256.83
  6. Step 6: Final answer
    x = 165.63

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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.