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Finding the Fourth Proportional to 305.19, 421.19 and 249.77

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Solution

The fourth proportional to 305.19, 421.19 and 249.77 is: 344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 421.19 = 249.77 : x
  2. Step 2: Convert to fraction form
    305.19/421.19 = 249.77/x
  3. Step 3: Cross multiply
    305.19x = 421.19 × 249.77
  4. Step 4: Simplify right side
    305.19x = 105,197.27
  5. Step 5: Solve for x
    x = 105,197.27/305.19
  6. Step 6: Final answer
    x = 344.69

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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.