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Finding the Fourth Proportional to 302.15, 416.95 and 169.37

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Solution

The fourth proportional to 302.15, 416.95 and 169.37 is: 233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.15 : 416.95 = 169.37 : x
  2. Step 2: Convert to fraction form
    302.15/416.95 = 169.37/x
  3. Step 3: Cross multiply
    302.15x = 416.95 × 169.37
  4. Step 4: Simplify right side
    302.15x = 70,616.74
  5. Step 5: Solve for x
    x = 70,616.74/302.15
  6. Step 6: Final answer
    x = 233.72

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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.