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Finding the Fourth Proportional to 184, 253.92 and 106.42

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Solution

The fourth proportional to 184, 253.92 and 106.42 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184 : 253.92 = 106.42 : x
  2. Step 2: Convert to fraction form
    184/253.92 = 106.42/x
  3. Step 3: Cross multiply
    184x = 253.92 × 106.42
  4. Step 4: Simplify right side
    184x = 27,022.17
  5. Step 5: Solve for x
    x = 27,022.17/184
  6. Step 6: Final answer
    x = 146.86

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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.