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Finding the Fourth Proportional to 365.10, 547.82 and 159.96

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Solution

The fourth proportional to 365.10, 547.82 and 159.96 is: 240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 547.82 = 159.96 : x
  2. Step 2: Convert to fraction form
    365.10/547.82 = 159.96/x
  3. Step 3: Cross multiply
    365.10x = 547.82 × 159.96
  4. Step 4: Simplify right side
    365.10x = 87,629.29
  5. Step 5: Solve for x
    x = 87,629.29/365.10
  6. Step 6: Final answer
    x = 240.01

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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.