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Finding the Fourth Proportional to 296.78, 409.47 and 186.14

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Solution

The fourth proportional to 296.78, 409.47 and 186.14 is: 256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 409.47 = 186.14 : x
  2. Step 2: Convert to fraction form
    296.78/409.47 = 186.14/x
  3. Step 3: Cross multiply
    296.78x = 409.47 × 186.14
  4. Step 4: Simplify right side
    296.78x = 76,218.75
  5. Step 5: Solve for x
    x = 76,218.75/296.78
  6. Step 6: Final answer
    x = 256.82

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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.