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Finding the Fourth Proportional to 296.66, 409.39 and 186.17

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Solution

The fourth proportional to 296.66, 409.39 and 186.17 is: 256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.66 : 409.39 = 186.17 : x
  2. Step 2: Convert to fraction form
    296.66/409.39 = 186.17/x
  3. Step 3: Cross multiply
    296.66x = 409.39 × 186.17
  4. Step 4: Simplify right side
    296.66x = 76,213.62
  5. Step 5: Solve for x
    x = 76,213.62/296.66
  6. Step 6: Final answer
    x = 256.90

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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.