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Finding the Fourth Proportional to 296.96, 409.91 and 186.46

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Solution

The fourth proportional to 296.96, 409.91 and 186.46 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 409.91 = 186.46 : x
  2. Step 2: Convert to fraction form
    296.96/409.91 = 186.46/x
  3. Step 3: Cross multiply
    296.96x = 409.91 × 186.46
  4. Step 4: Simplify right side
    296.96x = 76,429.86
  5. Step 5: Solve for x
    x = 76,429.86/296.96
  6. Step 6: Final answer
    x = 257.38

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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.