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Finding the Fourth Proportional to 183.84, 253.71 and 142.32

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Solution

The fourth proportional to 183.84, 253.71 and 142.32 is: 196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 253.71 = 142.32 : x
  2. Step 2: Convert to fraction form
    183.84/253.71 = 142.32/x
  3. Step 3: Cross multiply
    183.84x = 253.71 × 142.32
  4. Step 4: Simplify right side
    183.84x = 36,108.01
  5. Step 5: Solve for x
    x = 36,108.01/183.84
  6. Step 6: Final answer
    x = 196.41

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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.