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Finding the Fourth Proportional to 296.63, 409.26 and 186.11

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Solution

The fourth proportional to 296.63, 409.26 and 186.11 is: 256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.63 : 409.26 = 186.11 : x
  2. Step 2: Convert to fraction form
    296.63/409.26 = 186.11/x
  3. Step 3: Cross multiply
    296.63x = 409.26 × 186.11
  4. Step 4: Simplify right side
    296.63x = 76,165.80
  5. Step 5: Solve for x
    x = 76,165.80/296.63
  6. Step 6: Final answer
    x = 256.77

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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.