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Finding the Fourth Proportional to 302.09, 416.93 and 169.31

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Solution

The fourth proportional to 302.09, 416.93 and 169.31 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 416.93 = 169.31 : x
  2. Step 2: Convert to fraction form
    302.09/416.93 = 169.31/x
  3. Step 3: Cross multiply
    302.09x = 416.93 × 169.31
  4. Step 4: Simplify right side
    302.09x = 70,590.61
  5. Step 5: Solve for x
    x = 70,590.61/302.09
  6. Step 6: Final answer
    x = 233.68

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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.