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Finding the Fourth Proportional to 365.19, 547.17 and 159.45

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Solution

The fourth proportional to 365.19, 547.17 and 159.45 is: 238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.19 : 547.17 = 159.45 : x
  2. Step 2: Convert to fraction form
    365.19/547.17 = 159.45/x
  3. Step 3: Cross multiply
    365.19x = 547.17 × 159.45
  4. Step 4: Simplify right side
    365.19x = 87,246.26
  5. Step 5: Solve for x
    x = 87,246.26/365.19
  6. Step 6: Final answer
    x = 238.91

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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.