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Finding the Fourth Proportional to 256.99, 385.21 and 110.81

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Solution

The fourth proportional to 256.99, 385.21 and 110.81 is: 166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.99 : 385.21 = 110.81 : x
  2. Step 2: Convert to fraction form
    256.99/385.21 = 110.81/x
  3. Step 3: Cross multiply
    256.99x = 385.21 × 110.81
  4. Step 4: Simplify right side
    256.99x = 42,682.92
  5. Step 5: Solve for x
    x = 42,682.92/256.99
  6. Step 6: Final answer
    x = 166.09

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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.