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Finding the Fourth Proportional to 182.24, 251.14 and 178.91

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Solution

The fourth proportional to 182.24, 251.14 and 178.91 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 251.14 = 178.91 : x
  2. Step 2: Convert to fraction form
    182.24/251.14 = 178.91/x
  3. Step 3: Cross multiply
    182.24x = 251.14 × 178.91
  4. Step 4: Simplify right side
    182.24x = 44,931.46
  5. Step 5: Solve for x
    x = 44,931.46/182.24
  6. Step 6: Final answer
    x = 246.55

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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.