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Finding the Fourth Proportional to 375.89, 564.06 and 159.47

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Solution

The fourth proportional to 375.89, 564.06 and 159.47 is: 239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 564.06 = 159.47 : x
  2. Step 2: Convert to fraction form
    375.89/564.06 = 159.47/x
  3. Step 3: Cross multiply
    375.89x = 564.06 × 159.47
  4. Step 4: Simplify right side
    375.89x = 89,950.54
  5. Step 5: Solve for x
    x = 89,950.54/375.89
  6. Step 6: Final answer
    x = 239.30

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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.