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Finding the Fourth Proportional to 213.48, 320.25 and 110.49

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Solution

The fourth proportional to 213.48, 320.25 and 110.49 is: 165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 320.25 = 110.49 : x
  2. Step 2: Convert to fraction form
    213.48/320.25 = 110.49/x
  3. Step 3: Cross multiply
    213.48x = 320.25 × 110.49
  4. Step 4: Simplify right side
    213.48x = 35,384.42
  5. Step 5: Solve for x
    x = 35,384.42/213.48
  6. Step 6: Final answer
    x = 165.75

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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.