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Finding the Fourth Proportional to 294.84, 406.76 and 195.28

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Solution

The fourth proportional to 294.84, 406.76 and 195.28 is: 269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 406.76 = 195.28 : x
  2. Step 2: Convert to fraction form
    294.84/406.76 = 195.28/x
  3. Step 3: Cross multiply
    294.84x = 406.76 × 195.28
  4. Step 4: Simplify right side
    294.84x = 79,430.10
  5. Step 5: Solve for x
    x = 79,430.10/294.84
  6. Step 6: Final answer
    x = 269.40

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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.