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Finding the Fourth Proportional to 301.93, 452.27 and 180.13

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Solution

The fourth proportional to 301.93, 452.27 and 180.13 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.93 : 452.27 = 180.13 : x
  2. Step 2: Convert to fraction form
    301.93/452.27 = 180.13/x
  3. Step 3: Cross multiply
    301.93x = 452.27 × 180.13
  4. Step 4: Simplify right side
    301.93x = 81,466.55
  5. Step 5: Solve for x
    x = 81,466.55/301.93
  6. Step 6: Final answer
    x = 269.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.