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Finding the Fourth Proportional to 274.32, 378.36 and 191.52

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Solution

The fourth proportional to 274.32, 378.36 and 191.52 is: 264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 378.36 = 191.52 : x
  2. Step 2: Convert to fraction form
    274.32/378.36 = 191.52/x
  3. Step 3: Cross multiply
    274.32x = 378.36 × 191.52
  4. Step 4: Simplify right side
    274.32x = 72,463.51
  5. Step 5: Solve for x
    x = 72,463.51/274.32
  6. Step 6: Final answer
    x = 264.16

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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.