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Finding the Fourth Proportional to 301.80, 452.66 and 250.77

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Solution

The fourth proportional to 301.80, 452.66 and 250.77 is: 376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 452.66 = 250.77 : x
  2. Step 2: Convert to fraction form
    301.80/452.66 = 250.77/x
  3. Step 3: Cross multiply
    301.80x = 452.66 × 250.77
  4. Step 4: Simplify right side
    301.80x = 113,514.83
  5. Step 5: Solve for x
    x = 113,514.83/301.80
  6. Step 6: Final answer
    x = 376.12

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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.