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Finding the Fourth Proportional to 301.14, 415.28 and 189.02

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Solution

The fourth proportional to 301.14, 415.28 and 189.02 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 415.28 = 189.02 : x
  2. Step 2: Convert to fraction form
    301.14/415.28 = 189.02/x
  3. Step 3: Cross multiply
    301.14x = 415.28 × 189.02
  4. Step 4: Simplify right side
    301.14x = 78,496.23
  5. Step 5: Solve for x
    x = 78,496.23/301.14
  6. Step 6: Final answer
    x = 260.66

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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.