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Finding the Fourth Proportional to 376.85, 565.20 and 102.94

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Solution

The fourth proportional to 376.85, 565.20 and 102.94 is: 154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.85 : 565.20 = 102.94 : x
  2. Step 2: Convert to fraction form
    376.85/565.20 = 102.94/x
  3. Step 3: Cross multiply
    376.85x = 565.20 × 102.94
  4. Step 4: Simplify right side
    376.85x = 58,180.28
  5. Step 5: Solve for x
    x = 58,180.28/376.85
  6. Step 6: Final answer
    x = 154.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.