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Finding the Fourth Proportional to 182.40, 251.85 and 168.58

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Solution

The fourth proportional to 182.40, 251.85 and 168.58 is: 232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.40 : 251.85 = 168.58 : x
  2. Step 2: Convert to fraction form
    182.40/251.85 = 168.58/x
  3. Step 3: Cross multiply
    182.40x = 251.85 × 168.58
  4. Step 4: Simplify right side
    182.40x = 42,457.82
  5. Step 5: Solve for x
    x = 42,457.82/182.40
  6. Step 6: Final answer
    x = 232.78

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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.