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Finding the Fourth Proportional to 207.13, 285.98 and 159.79

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Solution

The fourth proportional to 207.13, 285.98 and 159.79 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.13 : 285.98 = 159.79 : x
  2. Step 2: Convert to fraction form
    207.13/285.98 = 159.79/x
  3. Step 3: Cross multiply
    207.13x = 285.98 × 159.79
  4. Step 4: Simplify right side
    207.13x = 45,696.74
  5. Step 5: Solve for x
    x = 45,696.74/207.13
  6. Step 6: Final answer
    x = 220.62

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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.