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Finding the Fourth Proportional to 182.94, 251.85 and 170.69

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Solution

The fourth proportional to 182.94, 251.85 and 170.69 is: 234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 251.85 = 170.69 : x
  2. Step 2: Convert to fraction form
    182.94/251.85 = 170.69/x
  3. Step 3: Cross multiply
    182.94x = 251.85 × 170.69
  4. Step 4: Simplify right side
    182.94x = 42,987.02
  5. Step 5: Solve for x
    x = 42,987.02/182.94
  6. Step 6: Final answer
    x = 234.98

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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.