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Finding the Fourth Proportional to 213.02, 319.58 and 68.75

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Solution

The fourth proportional to 213.02, 319.58 and 68.75 is: 103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.02 : 319.58 = 68.75 : x
  2. Step 2: Convert to fraction form
    213.02/319.58 = 68.75/x
  3. Step 3: Cross multiply
    213.02x = 319.58 × 68.75
  4. Step 4: Simplify right side
    213.02x = 21,971.13
  5. Step 5: Solve for x
    x = 21,971.13/213.02
  6. Step 6: Final answer
    x = 103.14

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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.