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Finding the Fourth Proportional to 207.36, 285.66 and 180

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Solution

The fourth proportional to 207.36, 285.66 and 180 is: 247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 285.66 = 180 : x
  2. Step 2: Convert to fraction form
    207.36/285.66 = 180/x
  3. Step 3: Cross multiply
    207.36x = 285.66 × 180
  4. Step 4: Simplify right side
    207.36x = 51,418.80
  5. Step 5: Solve for x
    x = 51,418.80/207.36
  6. Step 6: Final answer
    x = 247.97

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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.