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Finding the Fourth Proportional to 256.10, 384.24 and 109.88

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Solution

The fourth proportional to 256.10, 384.24 and 109.88 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 384.24 = 109.88 : x
  2. Step 2: Convert to fraction form
    256.10/384.24 = 109.88/x
  3. Step 3: Cross multiply
    256.10x = 384.24 × 109.88
  4. Step 4: Simplify right side
    256.10x = 42,218.37
  5. Step 5: Solve for x
    x = 42,218.37/256.10
  6. Step 6: Final answer
    x = 164.85

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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.