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Finding the Fourth Proportional to 652.84, 979.14 and 196.84

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Solution

The fourth proportional to 652.84, 979.14 and 196.84 is: 295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 979.14 = 196.84 : x
  2. Step 2: Convert to fraction form
    652.84/979.14 = 196.84/x
  3. Step 3: Cross multiply
    652.84x = 979.14 × 196.84
  4. Step 4: Simplify right side
    652.84x = 192,733.92
  5. Step 5: Solve for x
    x = 192,733.92/652.84
  6. Step 6: Final answer
    x = 295.22

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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.