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Finding the Fourth Proportional to 182.80, 272.87 and 160.91

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Solution

The fourth proportional to 182.80, 272.87 and 160.91 is: 240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.80 : 272.87 = 160.91 : x
  2. Step 2: Convert to fraction form
    182.80/272.87 = 160.91/x
  3. Step 3: Cross multiply
    182.80x = 272.87 × 160.91
  4. Step 4: Simplify right side
    182.80x = 43,907.51
  5. Step 5: Solve for x
    x = 43,907.51/182.80
  6. Step 6: Final answer
    x = 240.19

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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.