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Finding the Fourth Proportional to 207.17, 285.81 and 144.96

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Solution

The fourth proportional to 207.17, 285.81 and 144.96 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.17 : 285.81 = 144.96 : x
  2. Step 2: Convert to fraction form
    207.17/285.81 = 144.96/x
  3. Step 3: Cross multiply
    207.17x = 285.81 × 144.96
  4. Step 4: Simplify right side
    207.17x = 41,431.02
  5. Step 5: Solve for x
    x = 41,431.02/207.17
  6. Step 6: Final answer
    x = 199.99

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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.