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Finding the Fourth Proportional to 301.56, 415.02 and 239.19

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Solution

The fourth proportional to 301.56, 415.02 and 239.19 is: 329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.56 : 415.02 = 239.19 : x
  2. Step 2: Convert to fraction form
    301.56/415.02 = 239.19/x
  3. Step 3: Cross multiply
    301.56x = 415.02 × 239.19
  4. Step 4: Simplify right side
    301.56x = 99,268.63
  5. Step 5: Solve for x
    x = 99,268.63/301.56
  6. Step 6: Final answer
    x = 329.18

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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.