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Finding the Fourth Proportional to 183.49, 276.46 and 151.70

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Solution

The fourth proportional to 183.49, 276.46 and 151.70 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.49 : 276.46 = 151.70 : x
  2. Step 2: Convert to fraction form
    183.49/276.46 = 151.70/x
  3. Step 3: Cross multiply
    183.49x = 276.46 × 151.70
  4. Step 4: Simplify right side
    183.49x = 41,937.60
  5. Step 5: Solve for x
    x = 41,937.60/183.49
  6. Step 6: Final answer
    x = 228.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.