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Finding the Fourth Proportional to 302.22, 416.87 and 239.96

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Solution

The fourth proportional to 302.22, 416.87 and 239.96 is: 330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.22 : 416.87 = 239.96 : x
  2. Step 2: Convert to fraction form
    302.22/416.87 = 239.96/x
  3. Step 3: Cross multiply
    302.22x = 416.87 × 239.96
  4. Step 4: Simplify right side
    302.22x = 100,028.84
  5. Step 5: Solve for x
    x = 100,028.84/302.22
  6. Step 6: Final answer
    x = 330.98

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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.