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Finding the Fourth Proportional to 213.72, 294.78 and 207.72

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Solution

The fourth proportional to 213.72, 294.78 and 207.72 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.72 : 294.78 = 207.72 : x
  2. Step 2: Convert to fraction form
    213.72/294.78 = 207.72/x
  3. Step 3: Cross multiply
    213.72x = 294.78 × 207.72
  4. Step 4: Simplify right side
    213.72x = 61,231.70
  5. Step 5: Solve for x
    x = 61,231.70/213.72
  6. Step 6: Final answer
    x = 286.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.