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Finding the Fourth Proportional to 298.42, 448.23 and 229.70

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Solution

The fourth proportional to 298.42, 448.23 and 229.70 is: 345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.42 : 448.23 = 229.70 : x
  2. Step 2: Convert to fraction form
    298.42/448.23 = 229.70/x
  3. Step 3: Cross multiply
    298.42x = 448.23 × 229.70
  4. Step 4: Simplify right side
    298.42x = 102,958.43
  5. Step 5: Solve for x
    x = 102,958.43/298.42
  6. Step 6: Final answer
    x = 345.02

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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.