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Finding the Fourth Proportional to 294.68, 406.78 and 195.35

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Solution

The fourth proportional to 294.68, 406.78 and 195.35 is: 269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 406.78 = 195.35 : x
  2. Step 2: Convert to fraction form
    294.68/406.78 = 195.35/x
  3. Step 3: Cross multiply
    294.68x = 406.78 × 195.35
  4. Step 4: Simplify right side
    294.68x = 79,464.47
  5. Step 5: Solve for x
    x = 79,464.47/294.68
  6. Step 6: Final answer
    x = 269.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.