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Finding the Fourth Proportional to 184.02, 253.86 and 137.24

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Solution

The fourth proportional to 184.02, 253.86 and 137.24 is: 189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 253.86 = 137.24 : x
  2. Step 2: Convert to fraction form
    184.02/253.86 = 137.24/x
  3. Step 3: Cross multiply
    184.02x = 253.86 × 137.24
  4. Step 4: Simplify right side
    184.02x = 34,840.73
  5. Step 5: Solve for x
    x = 34,840.73/184.02
  6. Step 6: Final answer
    x = 189.33

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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.