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Finding the Fourth Proportional to 274.35, 378.60 and 176.16

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Solution

The fourth proportional to 274.35, 378.60 and 176.16 is: 243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 378.60 = 176.16 : x
  2. Step 2: Convert to fraction form
    274.35/378.60 = 176.16/x
  3. Step 3: Cross multiply
    274.35x = 378.60 × 176.16
  4. Step 4: Simplify right side
    274.35x = 66,694.18
  5. Step 5: Solve for x
    x = 66,694.18/274.35
  6. Step 6: Final answer
    x = 243.10

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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.