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Finding the Fourth Proportional to 213, 319.10 and 169.76

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Solution

The fourth proportional to 213, 319.10 and 169.76 is: 254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 319.10 = 169.76 : x
  2. Step 2: Convert to fraction form
    213/319.10 = 169.76/x
  3. Step 3: Cross multiply
    213x = 319.10 × 169.76
  4. Step 4: Simplify right side
    213x = 54,167.97
  5. Step 5: Solve for x
    x = 54,167.97/213
  6. Step 6: Final answer
    x = 254.31

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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.