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Finding the Fourth Proportional to 182.95, 251.91 and 178.90

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Solution

The fourth proportional to 182.95, 251.91 and 178.90 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.95 : 251.91 = 178.90 : x
  2. Step 2: Convert to fraction form
    182.95/251.91 = 178.90/x
  3. Step 3: Cross multiply
    182.95x = 251.91 × 178.90
  4. Step 4: Simplify right side
    182.95x = 45,066.07
  5. Step 5: Solve for x
    x = 45,066.07/182.95
  6. Step 6: Final answer
    x = 246.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.