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Finding the Fourth Proportional to 183.72, 253.22 and 146.76

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Solution

The fourth proportional to 183.72, 253.22 and 146.76 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 253.22 = 146.76 : x
  2. Step 2: Convert to fraction form
    183.72/253.22 = 146.76/x
  3. Step 3: Cross multiply
    183.72x = 253.22 × 146.76
  4. Step 4: Simplify right side
    183.72x = 37,162.57
  5. Step 5: Solve for x
    x = 37,162.57/183.72
  6. Step 6: Final answer
    x = 202.28

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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.