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Finding the Fourth Proportional to 255.90, 383.84 and 109.61

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Solution

The fourth proportional to 255.90, 383.84 and 109.61 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.90 : 383.84 = 109.61 : x
  2. Step 2: Convert to fraction form
    255.90/383.84 = 109.61/x
  3. Step 3: Cross multiply
    255.90x = 383.84 × 109.61
  4. Step 4: Simplify right side
    255.90x = 42,072.70
  5. Step 5: Solve for x
    x = 42,072.70/255.90
  6. Step 6: Final answer
    x = 164.41

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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.