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Finding the Fourth Proportional to 302.07, 416.89 and 169.30

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Solution

The fourth proportional to 302.07, 416.89 and 169.30 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.07 : 416.89 = 169.30 : x
  2. Step 2: Convert to fraction form
    302.07/416.89 = 169.30/x
  3. Step 3: Cross multiply
    302.07x = 416.89 × 169.30
  4. Step 4: Simplify right side
    302.07x = 70,579.48
  5. Step 5: Solve for x
    x = 70,579.48/302.07
  6. Step 6: Final answer
    x = 233.65

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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.