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Finding the Fourth Proportional to 184.24, 276.23 and 103.06

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Solution

The fourth proportional to 184.24, 276.23 and 103.06 is: 154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 276.23 = 103.06 : x
  2. Step 2: Convert to fraction form
    184.24/276.23 = 103.06/x
  3. Step 3: Cross multiply
    184.24x = 276.23 × 103.06
  4. Step 4: Simplify right side
    184.24x = 28,468.26
  5. Step 5: Solve for x
    x = 28,468.26/184.24
  6. Step 6: Final answer
    x = 154.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.