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Finding the Fourth Proportional to 452.68, 678.84 and 196

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Solution

The fourth proportional to 452.68, 678.84 and 196 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.68 : 678.84 = 196 : x
  2. Step 2: Convert to fraction form
    452.68/678.84 = 196/x
  3. Step 3: Cross multiply
    452.68x = 678.84 × 196
  4. Step 4: Simplify right side
    452.68x = 133,052.64
  5. Step 5: Solve for x
    x = 133,052.64/452.68
  6. Step 6: Final answer
    x = 293.92

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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.