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Finding the Fourth Proportional to 239.46, 358.71 and 166.26

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Solution

The fourth proportional to 239.46, 358.71 and 166.26 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 358.71 = 166.26 : x
  2. Step 2: Convert to fraction form
    239.46/358.71 = 166.26/x
  3. Step 3: Cross multiply
    239.46x = 358.71 × 166.26
  4. Step 4: Simplify right side
    239.46x = 59,639.12
  5. Step 5: Solve for x
    x = 59,639.12/239.46
  6. Step 6: Final answer
    x = 249.06

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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.