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Finding the Fourth Proportional to 296.38, 409.07 and 185.77

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Solution

The fourth proportional to 296.38, 409.07 and 185.77 is: 256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.38 : 409.07 = 185.77 : x
  2. Step 2: Convert to fraction form
    296.38/409.07 = 185.77/x
  3. Step 3: Cross multiply
    296.38x = 409.07 × 185.77
  4. Step 4: Simplify right side
    296.38x = 75,992.93
  5. Step 5: Solve for x
    x = 75,992.93/296.38
  6. Step 6: Final answer
    x = 256.40

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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.