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Finding the Fourth Proportional to 238.82, 358.43 and 164.70

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Solution

The fourth proportional to 238.82, 358.43 and 164.70 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.82 : 358.43 = 164.70 : x
  2. Step 2: Convert to fraction form
    238.82/358.43 = 164.70/x
  3. Step 3: Cross multiply
    238.82x = 358.43 × 164.70
  4. Step 4: Simplify right side
    238.82x = 59,032.60
  5. Step 5: Solve for x
    x = 59,032.60/238.82
  6. Step 6: Final answer
    x = 247.19

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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.