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Finding the Fourth Proportional to 182.02, 250.89 and 149.22

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Solution

The fourth proportional to 182.02, 250.89 and 149.22 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.02 : 250.89 = 149.22 : x
  2. Step 2: Convert to fraction form
    182.02/250.89 = 149.22/x
  3. Step 3: Cross multiply
    182.02x = 250.89 × 149.22
  4. Step 4: Simplify right side
    182.02x = 37,437.81
  5. Step 5: Solve for x
    x = 37,437.81/182.02
  6. Step 6: Final answer
    x = 205.68

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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.