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Finding the Fourth Proportional to 239.19, 358.60 and 109.27

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Solution

The fourth proportional to 239.19, 358.60 and 109.27 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.19 : 358.60 = 109.27 : x
  2. Step 2: Convert to fraction form
    239.19/358.60 = 109.27/x
  3. Step 3: Cross multiply
    239.19x = 358.60 × 109.27
  4. Step 4: Simplify right side
    239.19x = 39,184.22
  5. Step 5: Solve for x
    x = 39,184.22/239.19
  6. Step 6: Final answer
    x = 163.82

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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.