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Finding the Fourth Proportional to 375.81, 563.70 and 159.24

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Solution

The fourth proportional to 375.81, 563.70 and 159.24 is: 238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.81 : 563.70 = 159.24 : x
  2. Step 2: Convert to fraction form
    375.81/563.70 = 159.24/x
  3. Step 3: Cross multiply
    375.81x = 563.70 × 159.24
  4. Step 4: Simplify right side
    375.81x = 89,760.77
  5. Step 5: Solve for x
    x = 89,760.77/375.81
  6. Step 6: Final answer
    x = 238.85

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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.