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Finding the Fourth Proportional to 365.07, 547.20 and 159.33

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Solution

The fourth proportional to 365.07, 547.20 and 159.33 is: 238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 547.20 = 159.33 : x
  2. Step 2: Convert to fraction form
    365.07/547.20 = 159.33/x
  3. Step 3: Cross multiply
    365.07x = 547.20 × 159.33
  4. Step 4: Simplify right side
    365.07x = 87,185.38
  5. Step 5: Solve for x
    x = 87,185.38/365.07
  6. Step 6: Final answer
    x = 238.82

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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.