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Finding the Fourth Proportional to 301.41, 415.89 and 183.35

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Solution

The fourth proportional to 301.41, 415.89 and 183.35 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.41 : 415.89 = 183.35 : x
  2. Step 2: Convert to fraction form
    301.41/415.89 = 183.35/x
  3. Step 3: Cross multiply
    301.41x = 415.89 × 183.35
  4. Step 4: Simplify right side
    301.41x = 76,254.47
  5. Step 5: Solve for x
    x = 76,254.47/301.41
  6. Step 6: Final answer
    x = 252.99

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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.