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Finding the Fourth Proportional to 239.16, 358.34 and 166.06

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Solution

The fourth proportional to 239.16, 358.34 and 166.06 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.16 : 358.34 = 166.06 : x
  2. Step 2: Convert to fraction form
    239.16/358.34 = 166.06/x
  3. Step 3: Cross multiply
    239.16x = 358.34 × 166.06
  4. Step 4: Simplify right side
    239.16x = 59,505.94
  5. Step 5: Solve for x
    x = 59,505.94/239.16
  6. Step 6: Final answer
    x = 248.81

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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.