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Finding the Fourth Proportional to 365.02, 546.97 and 159.47

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Solution

The fourth proportional to 365.02, 546.97 and 159.47 is: 238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.02 : 546.97 = 159.47 : x
  2. Step 2: Convert to fraction form
    365.02/546.97 = 159.47/x
  3. Step 3: Cross multiply
    365.02x = 546.97 × 159.47
  4. Step 4: Simplify right side
    365.02x = 87,222.17
  5. Step 5: Solve for x
    x = 87,222.17/365.02
  6. Step 6: Final answer
    x = 238.95

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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.