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Finding the Fourth Proportional to 259.71, 358.62 and 194.10

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Solution

The fourth proportional to 259.71, 358.62 and 194.10 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 358.62 = 194.10 : x
  2. Step 2: Convert to fraction form
    259.71/358.62 = 194.10/x
  3. Step 3: Cross multiply
    259.71x = 358.62 × 194.10
  4. Step 4: Simplify right side
    259.71x = 69,608.14
  5. Step 5: Solve for x
    x = 69,608.14/259.71
  6. Step 6: Final answer
    x = 268.02

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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.