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Finding the Fourth Proportional to 183.70, 253.78 and 146.82

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Solution

The fourth proportional to 183.70, 253.78 and 146.82 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.70 : 253.78 = 146.82 : x
  2. Step 2: Convert to fraction form
    183.70/253.78 = 146.82/x
  3. Step 3: Cross multiply
    183.70x = 253.78 × 146.82
  4. Step 4: Simplify right side
    183.70x = 37,259.98
  5. Step 5: Solve for x
    x = 37,259.98/183.70
  6. Step 6: Final answer
    x = 202.83

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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.