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Finding the Fourth Proportional to 183.86, 253.76 and 109.17

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Solution

The fourth proportional to 183.86, 253.76 and 109.17 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.86 : 253.76 = 109.17 : x
  2. Step 2: Convert to fraction form
    183.86/253.76 = 109.17/x
  3. Step 3: Cross multiply
    183.86x = 253.76 × 109.17
  4. Step 4: Simplify right side
    183.86x = 27,702.43
  5. Step 5: Solve for x
    x = 27,702.43/183.86
  6. Step 6: Final answer
    x = 150.68

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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.