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Finding the Fourth Proportional to 183.62, 253.40 and 108.95

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Solution

The fourth proportional to 183.62, 253.40 and 108.95 is: 150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.62 : 253.40 = 108.95 : x
  2. Step 2: Convert to fraction form
    183.62/253.40 = 108.95/x
  3. Step 3: Cross multiply
    183.62x = 253.40 × 108.95
  4. Step 4: Simplify right side
    183.62x = 27,608.02
  5. Step 5: Solve for x
    x = 27,608.02/183.62
  6. Step 6: Final answer
    x = 150.35

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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.