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Finding the Fourth Proportional to 376.83, 565.17 and 102.84

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Solution

The fourth proportional to 376.83, 565.17 and 102.84 is: 154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.83 : 565.17 = 102.84 : x
  2. Step 2: Convert to fraction form
    376.83/565.17 = 102.84/x
  3. Step 3: Cross multiply
    376.83x = 565.17 × 102.84
  4. Step 4: Simplify right side
    376.83x = 58,122.08
  5. Step 5: Solve for x
    x = 58,122.08/376.83
  6. Step 6: Final answer
    x = 154.24

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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.