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Finding the Fourth Proportional to 253.40, 348.92 and 198.08

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Solution

The fourth proportional to 253.40, 348.92 and 198.08 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 348.92 = 198.08 : x
  2. Step 2: Convert to fraction form
    253.40/348.92 = 198.08/x
  3. Step 3: Cross multiply
    253.40x = 348.92 × 198.08
  4. Step 4: Simplify right side
    253.40x = 69,114.07
  5. Step 5: Solve for x
    x = 69,114.07/253.40
  6. Step 6: Final answer
    x = 272.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.