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Finding the Fourth Proportional to 302.00, 416.71 and 169.22

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Solution

The fourth proportional to 302.00, 416.71 and 169.22 is: 233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.00 : 416.71 = 169.22 : x
  2. Step 2: Convert to fraction form
    302.00/416.71 = 169.22/x
  3. Step 3: Cross multiply
    302.00x = 416.71 × 169.22
  4. Step 4: Simplify right side
    302.00x = 70,516.92
  5. Step 5: Solve for x
    x = 70,516.92/302.00
  6. Step 6: Final answer
    x = 233.50

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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.