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Finding the Fourth Proportional to 184.36, 253.62 and 140.68

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Solution

The fourth proportional to 184.36, 253.62 and 140.68 is: 193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.36 : 253.62 = 140.68 : x
  2. Step 2: Convert to fraction form
    184.36/253.62 = 140.68/x
  3. Step 3: Cross multiply
    184.36x = 253.62 × 140.68
  4. Step 4: Simplify right side
    184.36x = 35,679.26
  5. Step 5: Solve for x
    x = 35,679.26/184.36
  6. Step 6: Final answer
    x = 193.53

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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.