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Finding the Fourth Proportional to 235.83, 325.77 and 180.69

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Solution

The fourth proportional to 235.83, 325.77 and 180.69 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 325.77 = 180.69 : x
  2. Step 2: Convert to fraction form
    235.83/325.77 = 180.69/x
  3. Step 3: Cross multiply
    235.83x = 325.77 × 180.69
  4. Step 4: Simplify right side
    235.83x = 58,863.38
  5. Step 5: Solve for x
    x = 58,863.38/235.83
  6. Step 6: Final answer
    x = 249.60

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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.