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Finding the Fourth Proportional to 238.82, 358.37 and 101.83

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Solution

The fourth proportional to 238.82, 358.37 and 101.83 is: 152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.82 : 358.37 = 101.83 : x
  2. Step 2: Convert to fraction form
    238.82/358.37 = 101.83/x
  3. Step 3: Cross multiply
    238.82x = 358.37 × 101.83
  4. Step 4: Simplify right side
    238.82x = 36,494.05
  5. Step 5: Solve for x
    x = 36,494.05/238.82
  6. Step 6: Final answer
    x = 152.81

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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.