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Finding the Fourth Proportional to 213.42, 319.98 and 110.70

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Solution

The fourth proportional to 213.42, 319.98 and 110.70 is: 165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 319.98 = 110.70 : x
  2. Step 2: Convert to fraction form
    213.42/319.98 = 110.70/x
  3. Step 3: Cross multiply
    213.42x = 319.98 × 110.70
  4. Step 4: Simplify right side
    213.42x = 35,421.79
  5. Step 5: Solve for x
    x = 35,421.79/213.42
  6. Step 6: Final answer
    x = 165.97

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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.