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Finding the Fourth Proportional to 184.29, 253.96 and 142.75

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Solution

The fourth proportional to 184.29, 253.96 and 142.75 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.29 : 253.96 = 142.75 : x
  2. Step 2: Convert to fraction form
    184.29/253.96 = 142.75/x
  3. Step 3: Cross multiply
    184.29x = 253.96 × 142.75
  4. Step 4: Simplify right side
    184.29x = 36,252.79
  5. Step 5: Solve for x
    x = 36,252.79/184.29
  6. Step 6: Final answer
    x = 196.72

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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.