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Finding the Fourth Proportional to 213, 319.41 and 110.13

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Solution

The fourth proportional to 213, 319.41 and 110.13 is: 165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 319.41 = 110.13 : x
  2. Step 2: Convert to fraction form
    213/319.41 = 110.13/x
  3. Step 3: Cross multiply
    213x = 319.41 × 110.13
  4. Step 4: Simplify right side
    213x = 35,176.62
  5. Step 5: Solve for x
    x = 35,176.62/213
  6. Step 6: Final answer
    x = 165.15

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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.