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Finding the Fourth Proportional to 213.48, 319.98 and 97.80

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Solution

The fourth proportional to 213.48, 319.98 and 97.80 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 319.98 = 97.80 : x
  2. Step 2: Convert to fraction form
    213.48/319.98 = 97.80/x
  3. Step 3: Cross multiply
    213.48x = 319.98 × 97.80
  4. Step 4: Simplify right side
    213.48x = 31,294.04
  5. Step 5: Solve for x
    x = 31,294.04/213.48
  6. Step 6: Final answer
    x = 146.59

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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.