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Finding the Fourth Proportional to 296.67, 409.65 and 186.33

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Solution

The fourth proportional to 296.67, 409.65 and 186.33 is: 257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.67 : 409.65 = 186.33 : x
  2. Step 2: Convert to fraction form
    296.67/409.65 = 186.33/x
  3. Step 3: Cross multiply
    296.67x = 409.65 × 186.33
  4. Step 4: Simplify right side
    296.67x = 76,330.08
  5. Step 5: Solve for x
    x = 76,330.08/296.67
  6. Step 6: Final answer
    x = 257.29

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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.