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Finding the Fourth Proportional to 183.39, 253.08 and 100.50

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Solution

The fourth proportional to 183.39, 253.08 and 100.50 is: 138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.39 : 253.08 = 100.50 : x
  2. Step 2: Convert to fraction form
    183.39/253.08 = 100.50/x
  3. Step 3: Cross multiply
    183.39x = 253.08 × 100.50
  4. Step 4: Simplify right side
    183.39x = 25,434.82
  5. Step 5: Solve for x
    x = 25,434.82/183.39
  6. Step 6: Final answer
    x = 138.69

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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.