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Finding the Fourth Proportional to 274.40, 378.24 and 204.35

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Solution

The fourth proportional to 274.40, 378.24 and 204.35 is: 281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.40 : 378.24 = 204.35 : x
  2. Step 2: Convert to fraction form
    274.40/378.24 = 204.35/x
  3. Step 3: Cross multiply
    274.40x = 378.24 × 204.35
  4. Step 4: Simplify right side
    274.40x = 77,291.45
  5. Step 5: Solve for x
    x = 77,291.45/274.40
  6. Step 6: Final answer
    x = 281.67

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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.