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Finding the Fourth Proportional to 238.06, 357.15 and 91.88

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Solution

The fourth proportional to 238.06, 357.15 and 91.88 is: 137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 357.15 = 91.88 : x
  2. Step 2: Convert to fraction form
    238.06/357.15 = 91.88/x
  3. Step 3: Cross multiply
    238.06x = 357.15 × 91.88
  4. Step 4: Simplify right side
    238.06x = 32,813.16
  5. Step 5: Solve for x
    x = 32,813.16/238.06
  6. Step 6: Final answer
    x = 137.84

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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.