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Finding the Fourth Proportional to 213.04, 319.48 and 76.02

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Solution

The fourth proportional to 213.04, 319.48 and 76.02 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.04 : 319.48 = 76.02 : x
  2. Step 2: Convert to fraction form
    213.04/319.48 = 76.02/x
  3. Step 3: Cross multiply
    213.04x = 319.48 × 76.02
  4. Step 4: Simplify right side
    213.04x = 24,285.48
  5. Step 5: Solve for x
    x = 24,285.48/213.04
  6. Step 6: Final answer
    x = 113.99

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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.