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Finding the Fourth Proportional to 213.69, 320.36 and 116.13

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Solution

The fourth proportional to 213.69, 320.36 and 116.13 is: 174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 320.36 = 116.13 : x
  2. Step 2: Convert to fraction form
    213.69/320.36 = 116.13/x
  3. Step 3: Cross multiply
    213.69x = 320.36 × 116.13
  4. Step 4: Simplify right side
    213.69x = 37,204.03
  5. Step 5: Solve for x
    x = 37,204.03/213.69
  6. Step 6: Final answer
    x = 174.10

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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.