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Finding the Fourth Proportional to 213.81, 320.45 and 116.36

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Solution

The fourth proportional to 213.81, 320.45 and 116.36 is: 174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.81 : 320.45 = 116.36 : x
  2. Step 2: Convert to fraction form
    213.81/320.45 = 116.36/x
  3. Step 3: Cross multiply
    213.81x = 320.45 × 116.36
  4. Step 4: Simplify right side
    213.81x = 37,288.65
  5. Step 5: Solve for x
    x = 37,288.65/213.81
  6. Step 6: Final answer
    x = 174.40

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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.