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Finding the Fourth Proportional to 364.82, 547.01 and 159.22

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Solution

The fourth proportional to 364.82, 547.01 and 159.22 is: 238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.82 : 547.01 = 159.22 : x
  2. Step 2: Convert to fraction form
    364.82/547.01 = 159.22/x
  3. Step 3: Cross multiply
    364.82x = 547.01 × 159.22
  4. Step 4: Simplify right side
    364.82x = 87,094.93
  5. Step 5: Solve for x
    x = 87,094.93/364.82
  6. Step 6: Final answer
    x = 238.73

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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.