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Finding the Fourth Proportional to 182.82, 251.64 and 176.58

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Solution

The fourth proportional to 182.82, 251.64 and 176.58 is: 243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.82 : 251.64 = 176.58 : x
  2. Step 2: Convert to fraction form
    182.82/251.64 = 176.58/x
  3. Step 3: Cross multiply
    182.82x = 251.64 × 176.58
  4. Step 4: Simplify right side
    182.82x = 44,434.59
  5. Step 5: Solve for x
    x = 44,434.59/182.82
  6. Step 6: Final answer
    x = 243.05

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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.