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Finding the Fourth Proportional to 183.04, 252.32 and 144.16

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Solution

The fourth proportional to 183.04, 252.32 and 144.16 is: 198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.04 : 252.32 = 144.16 : x
  2. Step 2: Convert to fraction form
    183.04/252.32 = 144.16/x
  3. Step 3: Cross multiply
    183.04x = 252.32 × 144.16
  4. Step 4: Simplify right side
    183.04x = 36,374.45
  5. Step 5: Solve for x
    x = 36,374.45/183.04
  6. Step 6: Final answer
    x = 198.72

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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.