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Finding the Fourth Proportional to 274.05, 378 and 175.77

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Solution

The fourth proportional to 274.05, 378 and 175.77 is: 242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.05 : 378 = 175.77 : x
  2. Step 2: Convert to fraction form
    274.05/378 = 175.77/x
  3. Step 3: Cross multiply
    274.05x = 378 × 175.77
  4. Step 4: Simplify right side
    274.05x = 66,441.06
  5. Step 5: Solve for x
    x = 66,441.06/274.05
  6. Step 6: Final answer
    x = 242.44

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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.