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Finding the Fourth Proportional to 274.02, 378.02 and 175.74

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Solution

The fourth proportional to 274.02, 378.02 and 175.74 is: 242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.02 : 378.02 = 175.74 : x
  2. Step 2: Convert to fraction form
    274.02/378.02 = 175.74/x
  3. Step 3: Cross multiply
    274.02x = 378.02 × 175.74
  4. Step 4: Simplify right side
    274.02x = 66,433.23
  5. Step 5: Solve for x
    x = 66,433.23/274.02
  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.