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Finding the Fourth Proportional to 375.34, 563.01 and 159.07

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Solution

The fourth proportional to 375.34, 563.01 and 159.07 is: 238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.34 : 563.01 = 159.07 : x
  2. Step 2: Convert to fraction form
    375.34/563.01 = 159.07/x
  3. Step 3: Cross multiply
    375.34x = 563.01 × 159.07
  4. Step 4: Simplify right side
    375.34x = 89,558.00
  5. Step 5: Solve for x
    x = 89,558.00/375.34
  6. Step 6: Final answer
    x = 238.61

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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.