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Finding the Fourth Proportional to 259.50, 357.78 and 207.24

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Solution

The fourth proportional to 259.50, 357.78 and 207.24 is: 285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 357.78 = 207.24 : x
  2. Step 2: Convert to fraction form
    259.50/357.78 = 207.24/x
  3. Step 3: Cross multiply
    259.50x = 357.78 × 207.24
  4. Step 4: Simplify right side
    259.50x = 74,146.33
  5. Step 5: Solve for x
    x = 74,146.33/259.50
  6. Step 6: Final answer
    x = 285.73

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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.