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Finding the Fourth Proportional to 245.98, 369.02 and 91.90

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Solution

The fourth proportional to 245.98, 369.02 and 91.90 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.98 : 369.02 = 91.90 : x
  2. Step 2: Convert to fraction form
    245.98/369.02 = 91.90/x
  3. Step 3: Cross multiply
    245.98x = 369.02 × 91.90
  4. Step 4: Simplify right side
    245.98x = 33,914.31
  5. Step 5: Solve for x
    x = 33,914.31/245.98
  6. Step 6: Final answer
    x = 137.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.