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Finding the Fourth Proportional to 207.72, 309.60 and 202.86

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Solution

The fourth proportional to 207.72, 309.60 and 202.86 is: 302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.72 : 309.60 = 202.86 : x
  2. Step 2: Convert to fraction form
    207.72/309.60 = 202.86/x
  3. Step 3: Cross multiply
    207.72x = 309.60 × 202.86
  4. Step 4: Simplify right side
    207.72x = 62,805.46
  5. Step 5: Solve for x
    x = 62,805.46/207.72
  6. Step 6: Final answer
    x = 302.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.