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Finding the Fourth Proportional to 182.64, 272.49 and 160.77

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Solution

The fourth proportional to 182.64, 272.49 and 160.77 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 272.49 = 160.77 : x
  2. Step 2: Convert to fraction form
    182.64/272.49 = 160.77/x
  3. Step 3: Cross multiply
    182.64x = 272.49 × 160.77
  4. Step 4: Simplify right side
    182.64x = 43,808.22
  5. Step 5: Solve for x
    x = 43,808.22/182.64
  6. Step 6: Final answer
    x = 239.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.