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Finding the Fourth Proportional to 305.13, 420.81 and 249.77

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Solution

The fourth proportional to 305.13, 420.81 and 249.77 is: 344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.13 : 420.81 = 249.77 : x
  2. Step 2: Convert to fraction form
    305.13/420.81 = 249.77/x
  3. Step 3: Cross multiply
    305.13x = 420.81 × 249.77
  4. Step 4: Simplify right side
    305.13x = 105,105.71
  5. Step 5: Solve for x
    x = 105,105.71/305.13
  6. Step 6: Final answer
    x = 344.46

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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.