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Finding the Fourth Proportional to 301.39, 415.63 and 177.05

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Solution

The fourth proportional to 301.39, 415.63 and 177.05 is: 244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.39 : 415.63 = 177.05 : x
  2. Step 2: Convert to fraction form
    301.39/415.63 = 177.05/x
  3. Step 3: Cross multiply
    301.39x = 415.63 × 177.05
  4. Step 4: Simplify right side
    301.39x = 73,588.55
  5. Step 5: Solve for x
    x = 73,588.55/301.39
  6. Step 6: Final answer
    x = 244.17

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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.