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Finding the Fourth Proportional to 274.86, 379.08 and 192.24

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Solution

The fourth proportional to 274.86, 379.08 and 192.24 is: 265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 379.08 = 192.24 : x
  2. Step 2: Convert to fraction form
    274.86/379.08 = 192.24/x
  3. Step 3: Cross multiply
    274.86x = 379.08 × 192.24
  4. Step 4: Simplify right side
    274.86x = 72,874.34
  5. Step 5: Solve for x
    x = 72,874.34/274.86
  6. Step 6: Final answer
    x = 265.13

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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.