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Finding the Fourth Proportional to 207.27, 285.75 and 154.89

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Solution

The fourth proportional to 207.27, 285.75 and 154.89 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 285.75 = 154.89 : x
  2. Step 2: Convert to fraction form
    207.27/285.75 = 154.89/x
  3. Step 3: Cross multiply
    207.27x = 285.75 × 154.89
  4. Step 4: Simplify right side
    207.27x = 44,259.82
  5. Step 5: Solve for x
    x = 44,259.82/207.27
  6. Step 6: Final answer
    x = 213.54

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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.