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Finding the Fourth Proportional to 183.97, 253.88 and 99.95

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Solution

The fourth proportional to 183.97, 253.88 and 99.95 is: 137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.97 : 253.88 = 99.95 : x
  2. Step 2: Convert to fraction form
    183.97/253.88 = 99.95/x
  3. Step 3: Cross multiply
    183.97x = 253.88 × 99.95
  4. Step 4: Simplify right side
    183.97x = 25,374.91
  5. Step 5: Solve for x
    x = 25,374.91/183.97
  6. Step 6: Final answer
    x = 137.93

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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.