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Finding the Fourth Proportional to 259.71, 357.91 and 207.19

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Solution

The fourth proportional to 259.71, 357.91 and 207.19 is: 285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 357.91 = 207.19 : x
  2. Step 2: Convert to fraction form
    259.71/357.91 = 207.19/x
  3. Step 3: Cross multiply
    259.71x = 357.91 × 207.19
  4. Step 4: Simplify right side
    259.71x = 74,155.37
  5. Step 5: Solve for x
    x = 74,155.37/259.71
  6. Step 6: Final answer
    x = 285.53

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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.