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Finding the Fourth Proportional to 183.54, 253.62 and 142.20

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Solution

The fourth proportional to 183.54, 253.62 and 142.20 is: 196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 253.62 = 142.20 : x
  2. Step 2: Convert to fraction form
    183.54/253.62 = 142.20/x
  3. Step 3: Cross multiply
    183.54x = 253.62 × 142.20
  4. Step 4: Simplify right side
    183.54x = 36,064.76
  5. Step 5: Solve for x
    x = 36,064.76/183.54
  6. Step 6: Final answer
    x = 196.50

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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.