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Finding the Fourth Proportional to 274.32, 377.51 and 265.41

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Solution

The fourth proportional to 274.32, 377.51 and 265.41 is: 365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 377.51 = 265.41 : x
  2. Step 2: Convert to fraction form
    274.32/377.51 = 265.41/x
  3. Step 3: Cross multiply
    274.32x = 377.51 × 265.41
  4. Step 4: Simplify right side
    274.32x = 100,193.60
  5. Step 5: Solve for x
    x = 100,193.60/274.32
  6. Step 6: Final answer
    x = 365.24

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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.