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Finding the Fourth Proportional to 183.61, 253.16 and 142.21

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Solution

The fourth proportional to 183.61, 253.16 and 142.21 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.61 : 253.16 = 142.21 : x
  2. Step 2: Convert to fraction form
    183.61/253.16 = 142.21/x
  3. Step 3: Cross multiply
    183.61x = 253.16 × 142.21
  4. Step 4: Simplify right side
    183.61x = 36,001.17
  5. Step 5: Solve for x
    x = 36,001.17/183.61
  6. Step 6: Final answer
    x = 196.07

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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.