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Finding the Fourth Proportional to 213.76, 320.64 and 105.44

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Solution

The fourth proportional to 213.76, 320.64 and 105.44 is: 158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 320.64 = 105.44 : x
  2. Step 2: Convert to fraction form
    213.76/320.64 = 105.44/x
  3. Step 3: Cross multiply
    213.76x = 320.64 × 105.44
  4. Step 4: Simplify right side
    213.76x = 33,808.28
  5. Step 5: Solve for x
    x = 33,808.28/213.76
  6. Step 6: Final answer
    x = 158.16

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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.