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Finding the Fourth Proportional to 294.77, 406.57 and 189.86

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Solution

The fourth proportional to 294.77, 406.57 and 189.86 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.77 : 406.57 = 189.86 : x
  2. Step 2: Convert to fraction form
    294.77/406.57 = 189.86/x
  3. Step 3: Cross multiply
    294.77x = 406.57 × 189.86
  4. Step 4: Simplify right side
    294.77x = 77,191.38
  5. Step 5: Solve for x
    x = 77,191.38/294.77
  6. Step 6: Final answer
    x = 261.87

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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.