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Finding the Fourth Proportional to 259.90, 358.14 and 189.82

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Solution

The fourth proportional to 259.90, 358.14 and 189.82 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.90 : 358.14 = 189.82 : x
  2. Step 2: Convert to fraction form
    259.90/358.14 = 189.82/x
  3. Step 3: Cross multiply
    259.90x = 358.14 × 189.82
  4. Step 4: Simplify right side
    259.90x = 67,982.13
  5. Step 5: Solve for x
    x = 67,982.13/259.90
  6. Step 6: Final answer
    x = 261.57

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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.