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Finding the Fourth Proportional to 274.25, 378.32 and 176.06

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Solution

The fourth proportional to 274.25, 378.32 and 176.06 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.25 : 378.32 = 176.06 : x
  2. Step 2: Convert to fraction form
    274.25/378.32 = 176.06/x
  3. Step 3: Cross multiply
    274.25x = 378.32 × 176.06
  4. Step 4: Simplify right side
    274.25x = 66,607.08
  5. Step 5: Solve for x
    x = 66,607.08/274.25
  6. Step 6: Final answer
    x = 242.87

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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.