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Finding the Fourth Proportional to 182.25, 251.50 and 99.36

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Solution

The fourth proportional to 182.25, 251.50 and 99.36 is: 137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 251.50 = 99.36 : x
  2. Step 2: Convert to fraction form
    182.25/251.50 = 99.36/x
  3. Step 3: Cross multiply
    182.25x = 251.50 × 99.36
  4. Step 4: Simplify right side
    182.25x = 24,989.04
  5. Step 5: Solve for x
    x = 24,989.04/182.25
  6. Step 6: Final answer
    x = 137.11

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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.