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Finding the Fourth Proportional to 274.64, 411.36 and 178.16

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Solution

The fourth proportional to 274.64, 411.36 and 178.16 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 411.36 = 178.16 : x
  2. Step 2: Convert to fraction form
    274.64/411.36 = 178.16/x
  3. Step 3: Cross multiply
    274.64x = 411.36 × 178.16
  4. Step 4: Simplify right side
    274.64x = 73,287.90
  5. Step 5: Solve for x
    x = 73,287.90/274.64
  6. Step 6: Final answer
    x = 266.85

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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.