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Finding the Fourth Proportional to 238.30, 356.94 and 101.17

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Solution

The fourth proportional to 238.30, 356.94 and 101.17 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.30 : 356.94 = 101.17 : x
  2. Step 2: Convert to fraction form
    238.30/356.94 = 101.17/x
  3. Step 3: Cross multiply
    238.30x = 356.94 × 101.17
  4. Step 4: Simplify right side
    238.30x = 36,111.62
  5. Step 5: Solve for x
    x = 36,111.62/238.30
  6. Step 6: Final answer
    x = 151.54

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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.