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Finding the Fourth Proportional to 302.01, 416.77 and 169.23

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Solution

The fourth proportional to 302.01, 416.77 and 169.23 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.01 : 416.77 = 169.23 : x
  2. Step 2: Convert to fraction form
    302.01/416.77 = 169.23/x
  3. Step 3: Cross multiply
    302.01x = 416.77 × 169.23
  4. Step 4: Simplify right side
    302.01x = 70,529.99
  5. Step 5: Solve for x
    x = 70,529.99/302.01
  6. Step 6: Final answer
    x = 233.54

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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.