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Finding the Fourth Proportional to 297.81, 444.83 and 229.10

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Solution

The fourth proportional to 297.81, 444.83 and 229.10 is: 342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 444.83 = 229.10 : x
  2. Step 2: Convert to fraction form
    297.81/444.83 = 229.10/x
  3. Step 3: Cross multiply
    297.81x = 444.83 × 229.10
  4. Step 4: Simplify right side
    297.81x = 101,907.18
  5. Step 5: Solve for x
    x = 101,907.18/297.81
  6. Step 6: Final answer
    x = 342.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.