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Finding the Fourth Proportional to 253.94, 350.52 and 199.06

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Solution

The fourth proportional to 253.94, 350.52 and 199.06 is: 274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.94 : 350.52 = 199.06 : x
  2. Step 2: Convert to fraction form
    253.94/350.52 = 199.06/x
  3. Step 3: Cross multiply
    253.94x = 350.52 × 199.06
  4. Step 4: Simplify right side
    253.94x = 69,774.51
  5. Step 5: Solve for x
    x = 69,774.51/253.94
  6. Step 6: Final answer
    x = 274.77

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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.