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Finding the Fourth Proportional to 259.83, 358.37 and 186.12

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Solution

The fourth proportional to 259.83, 358.37 and 186.12 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.83 : 358.37 = 186.12 : x
  2. Step 2: Convert to fraction form
    259.83/358.37 = 186.12/x
  3. Step 3: Cross multiply
    259.83x = 358.37 × 186.12
  4. Step 4: Simplify right side
    259.83x = 66,699.82
  5. Step 5: Solve for x
    x = 66,699.82/259.83
  6. Step 6: Final answer
    x = 256.71

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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.