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Finding the Fourth Proportional to 180.83, 269.38 and 180.02

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Solution

The fourth proportional to 180.83, 269.38 and 180.02 is: 268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 269.38 = 180.02 : x
  2. Step 2: Convert to fraction form
    180.83/269.38 = 180.02/x
  3. Step 3: Cross multiply
    180.83x = 269.38 × 180.02
  4. Step 4: Simplify right side
    180.83x = 48,493.67
  5. Step 5: Solve for x
    x = 48,493.67/180.83
  6. Step 6: Final answer
    x = 268.17

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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.