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Finding the Fourth Proportional to 183.05, 253.10 and 159.99

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Solution

The fourth proportional to 183.05, 253.10 and 159.99 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.05 : 253.10 = 159.99 : x
  2. Step 2: Convert to fraction form
    183.05/253.10 = 159.99/x
  3. Step 3: Cross multiply
    183.05x = 253.10 × 159.99
  4. Step 4: Simplify right side
    183.05x = 40,493.47
  5. Step 5: Solve for x
    x = 40,493.47/183.05
  6. Step 6: Final answer
    x = 221.22

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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.