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Finding the Fourth Proportional to 294.17, 405.74 and 195.95

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Solution

The fourth proportional to 294.17, 405.74 and 195.95 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.17 : 405.74 = 195.95 : x
  2. Step 2: Convert to fraction form
    294.17/405.74 = 195.95/x
  3. Step 3: Cross multiply
    294.17x = 405.74 × 195.95
  4. Step 4: Simplify right side
    294.17x = 79,506.26
  5. Step 5: Solve for x
    x = 79,506.26/294.17
  6. Step 6: Final answer
    x = 270.28

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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.