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Finding the Fourth Proportional to 183.74, 253.56 and 99.71

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Solution

The fourth proportional to 183.74, 253.56 and 99.71 is: 137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 253.56 = 99.71 : x
  2. Step 2: Convert to fraction form
    183.74/253.56 = 99.71/x
  3. Step 3: Cross multiply
    183.74x = 253.56 × 99.71
  4. Step 4: Simplify right side
    183.74x = 25,281.97
  5. Step 5: Solve for x
    x = 25,281.97/183.74
  6. Step 6: Final answer
    x = 137.60

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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.