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Finding the Fourth Proportional to 250.78, 345.91 and 209.87

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Solution

The fourth proportional to 250.78, 345.91 and 209.87 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.78 : 345.91 = 209.87 : x
  2. Step 2: Convert to fraction form
    250.78/345.91 = 209.87/x
  3. Step 3: Cross multiply
    250.78x = 345.91 × 209.87
  4. Step 4: Simplify right side
    250.78x = 72,596.13
  5. Step 5: Solve for x
    x = 72,596.13/250.78
  6. Step 6: Final answer
    x = 289.48

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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.