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Finding the Fourth Proportional to 238.06, 356.84 and 101.20

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Solution

The fourth proportional to 238.06, 356.84 and 101.20 is: 151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 356.84 = 101.20 : x
  2. Step 2: Convert to fraction form
    238.06/356.84 = 101.20/x
  3. Step 3: Cross multiply
    238.06x = 356.84 × 101.20
  4. Step 4: Simplify right side
    238.06x = 36,112.21
  5. Step 5: Solve for x
    x = 36,112.21/238.06
  6. Step 6: Final answer
    x = 151.69

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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.