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Finding the Fourth Proportional to 376.30, 564.41 and 102.42

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Solution

The fourth proportional to 376.30, 564.41 and 102.42 is: 153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.30 : 564.41 = 102.42 : x
  2. Step 2: Convert to fraction form
    376.30/564.41 = 102.42/x
  3. Step 3: Cross multiply
    376.30x = 564.41 × 102.42
  4. Step 4: Simplify right side
    376.30x = 57,806.87
  5. Step 5: Solve for x
    x = 57,806.87/376.30
  6. Step 6: Final answer
    x = 153.62

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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.