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Finding the Fourth Proportional to 282.15, 389.09 and 259.83

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Solution

The fourth proportional to 282.15, 389.09 and 259.83 is: 358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 389.09 = 259.83 : x
  2. Step 2: Convert to fraction form
    282.15/389.09 = 259.83/x
  3. Step 3: Cross multiply
    282.15x = 389.09 × 259.83
  4. Step 4: Simplify right side
    282.15x = 101,095.96
  5. Step 5: Solve for x
    x = 101,095.96/282.15
  6. Step 6: Final answer
    x = 358.31

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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.