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Finding the Fourth Proportional to 296.96, 409.85 and 186.36

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Solution

The fourth proportional to 296.96, 409.85 and 186.36 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 409.85 = 186.36 : x
  2. Step 2: Convert to fraction form
    296.96/409.85 = 186.36/x
  3. Step 3: Cross multiply
    296.96x = 409.85 × 186.36
  4. Step 4: Simplify right side
    296.96x = 76,378.71
  5. Step 5: Solve for x
    x = 76,378.71/296.96
  6. Step 6: Final answer
    x = 257.21

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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.