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Finding the Fourth Proportional to 175.50, 262.02 and 149.83

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Solution

The fourth proportional to 175.50, 262.02 and 149.83 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 262.02 = 149.83 : x
  2. Step 2: Convert to fraction form
    175.50/262.02 = 149.83/x
  3. Step 3: Cross multiply
    175.50x = 262.02 × 149.83
  4. Step 4: Simplify right side
    175.50x = 39,258.99
  5. Step 5: Solve for x
    x = 39,258.99/175.50
  6. Step 6: Final answer
    x = 223.70

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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.