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Finding the Fourth Proportional to 301.14, 415.32 and 184.74

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Solution

The fourth proportional to 301.14, 415.32 and 184.74 is: 254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 415.32 = 184.74 : x
  2. Step 2: Convert to fraction form
    301.14/415.32 = 184.74/x
  3. Step 3: Cross multiply
    301.14x = 415.32 × 184.74
  4. Step 4: Simplify right side
    301.14x = 76,726.22
  5. Step 5: Solve for x
    x = 76,726.22/301.14
  6. Step 6: Final answer
    x = 254.79

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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.