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Finding the Fourth Proportional to 301.66, 416.01 and 189.49

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Solution

The fourth proportional to 301.66, 416.01 and 189.49 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.66 : 416.01 = 189.49 : x
  2. Step 2: Convert to fraction form
    301.66/416.01 = 189.49/x
  3. Step 3: Cross multiply
    301.66x = 416.01 × 189.49
  4. Step 4: Simplify right side
    301.66x = 78,829.73
  5. Step 5: Solve for x
    x = 78,829.73/301.66
  6. Step 6: Final answer
    x = 261.32

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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.