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Finding the Fourth Proportional to 296.91, 409.95 and 192.15

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Solution

The fourth proportional to 296.91, 409.95 and 192.15 is: 265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.91 : 409.95 = 192.15 : x
  2. Step 2: Convert to fraction form
    296.91/409.95 = 192.15/x
  3. Step 3: Cross multiply
    296.91x = 409.95 × 192.15
  4. Step 4: Simplify right side
    296.91x = 78,771.89
  5. Step 5: Solve for x
    x = 78,771.89/296.91
  6. Step 6: Final answer
    x = 265.31

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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.