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Finding the Fourth Proportional to 274.24, 410.56 and 192.64

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Solution

The fourth proportional to 274.24, 410.56 and 192.64 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 410.56 = 192.64 : x
  2. Step 2: Convert to fraction form
    274.24/410.56 = 192.64/x
  3. Step 3: Cross multiply
    274.24x = 410.56 × 192.64
  4. Step 4: Simplify right side
    274.24x = 79,090.28
  5. Step 5: Solve for x
    x = 79,090.28/274.24
  6. Step 6: Final answer
    x = 288.40

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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.