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Finding the Fourth Proportional to 185.71, 256.37 and 144.16

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Solution

The fourth proportional to 185.71, 256.37 and 144.16 is: 199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.71 : 256.37 = 144.16 : x
  2. Step 2: Convert to fraction form
    185.71/256.37 = 144.16/x
  3. Step 3: Cross multiply
    185.71x = 256.37 × 144.16
  4. Step 4: Simplify right side
    185.71x = 36,958.30
  5. Step 5: Solve for x
    x = 36,958.30/185.71
  6. Step 6: Final answer
    x = 199.01

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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.