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Finding the Fourth Proportional to 294.76, 406.40 and 189.66

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Solution

The fourth proportional to 294.76, 406.40 and 189.66 is: 261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 406.40 = 189.66 : x
  2. Step 2: Convert to fraction form
    294.76/406.40 = 189.66/x
  3. Step 3: Cross multiply
    294.76x = 406.40 × 189.66
  4. Step 4: Simplify right side
    294.76x = 77,077.82
  5. Step 5: Solve for x
    x = 77,077.82/294.76
  6. Step 6: Final answer
    x = 261.49

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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.