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Finding the Fourth Proportional to 307.13, 423.84 and 169.13

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Solution

The fourth proportional to 307.13, 423.84 and 169.13 is: 233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 423.84 = 169.13 : x
  2. Step 2: Convert to fraction form
    307.13/423.84 = 169.13/x
  3. Step 3: Cross multiply
    307.13x = 423.84 × 169.13
  4. Step 4: Simplify right side
    307.13x = 71,681.09
  5. Step 5: Solve for x
    x = 71,681.09/307.13
  6. Step 6: Final answer
    x = 233.39

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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.