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Finding the Fourth Proportional to 259.84, 358.86 and 186.26

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Solution

The fourth proportional to 259.84, 358.86 and 186.26 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 358.86 = 186.26 : x
  2. Step 2: Convert to fraction form
    259.84/358.86 = 186.26/x
  3. Step 3: Cross multiply
    259.84x = 358.86 × 186.26
  4. Step 4: Simplify right side
    259.84x = 66,841.26
  5. Step 5: Solve for x
    x = 66,841.26/259.84
  6. Step 6: Final answer
    x = 257.24

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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.