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Finding the Fourth Proportional to 213, 319.65 and 76.11

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Solution

The fourth proportional to 213, 319.65 and 76.11 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 319.65 = 76.11 : x
  2. Step 2: Convert to fraction form
    213/319.65 = 76.11/x
  3. Step 3: Cross multiply
    213x = 319.65 × 76.11
  4. Step 4: Simplify right side
    213x = 24,328.56
  5. Step 5: Solve for x
    x = 24,328.56/213
  6. Step 6: Final answer
    x = 114.22

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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.