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Finding the Fourth Proportional to 274.33, 378.12 and 176.05

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Solution

The fourth proportional to 274.33, 378.12 and 176.05 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.33 : 378.12 = 176.05 : x
  2. Step 2: Convert to fraction form
    274.33/378.12 = 176.05/x
  3. Step 3: Cross multiply
    274.33x = 378.12 × 176.05
  4. Step 4: Simplify right side
    274.33x = 66,568.03
  5. Step 5: Solve for x
    x = 66,568.03/274.33
  6. Step 6: Final answer
    x = 242.66

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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.