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Finding the Fourth Proportional to 184.69, 276.02 and 150.50

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Solution

The fourth proportional to 184.69, 276.02 and 150.50 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.69 : 276.02 = 150.50 : x
  2. Step 2: Convert to fraction form
    184.69/276.02 = 150.50/x
  3. Step 3: Cross multiply
    184.69x = 276.02 × 150.50
  4. Step 4: Simplify right side
    184.69x = 41,541.01
  5. Step 5: Solve for x
    x = 41,541.01/184.69
  6. Step 6: Final answer
    x = 224.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.