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Finding the Fourth Proportional to 302.27, 416.51 and 232.33

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Solution

The fourth proportional to 302.27, 416.51 and 232.33 is: 320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.27 : 416.51 = 232.33 : x
  2. Step 2: Convert to fraction form
    302.27/416.51 = 232.33/x
  3. Step 3: Cross multiply
    302.27x = 416.51 × 232.33
  4. Step 4: Simplify right side
    302.27x = 96,765.69
  5. Step 5: Solve for x
    x = 96,765.69/302.27
  6. Step 6: Final answer
    x = 320.13

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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.