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Finding the Fourth Proportional to 253.14, 348.82 and 183.08

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Solution

The fourth proportional to 253.14, 348.82 and 183.08 is: 252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.14 : 348.82 = 183.08 : x
  2. Step 2: Convert to fraction form
    253.14/348.82 = 183.08/x
  3. Step 3: Cross multiply
    253.14x = 348.82 × 183.08
  4. Step 4: Simplify right side
    253.14x = 63,861.97
  5. Step 5: Solve for x
    x = 63,861.97/253.14
  6. Step 6: Final answer
    x = 252.28

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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.