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Finding the Fourth Proportional to 213.33, 320.00 and 67.08

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Solution

The fourth proportional to 213.33, 320.00 and 67.08 is: 100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.33 : 320.00 = 67.08 : x
  2. Step 2: Convert to fraction form
    213.33/320.00 = 67.08/x
  3. Step 3: Cross multiply
    213.33x = 320.00 × 67.08
  4. Step 4: Simplify right side
    213.33x = 21,465.52
  5. Step 5: Solve for x
    x = 21,465.52/213.33
  6. Step 6: Final answer
    x = 100.62

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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.