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Finding the Fourth Proportional to 152.43, 211.31 and 144.22

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Solution

The fourth proportional to 152.43, 211.31 and 144.22 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.43 : 211.31 = 144.22 : x
  2. Step 2: Convert to fraction form
    152.43/211.31 = 144.22/x
  3. Step 3: Cross multiply
    152.43x = 211.31 × 144.22
  4. Step 4: Simplify right side
    152.43x = 30,475.13
  5. Step 5: Solve for x
    x = 30,475.13/152.43
  6. Step 6: Final answer
    x = 199.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.