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Finding the Fourth Proportional to 274.08, 410.66 and 192.54

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Solution

The fourth proportional to 274.08, 410.66 and 192.54 is: 288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 410.66 = 192.54 : x
  2. Step 2: Convert to fraction form
    274.08/410.66 = 192.54/x
  3. Step 3: Cross multiply
    274.08x = 410.66 × 192.54
  4. Step 4: Simplify right side
    274.08x = 79,068.48
  5. Step 5: Solve for x
    x = 79,068.48/274.08
  6. Step 6: Final answer
    x = 288.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.