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Finding the Fourth Proportional to 298.96, 448.45 and 144.86

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Solution

The fourth proportional to 298.96, 448.45 and 144.86 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 448.45 = 144.86 : x
  2. Step 2: Convert to fraction form
    298.96/448.45 = 144.86/x
  3. Step 3: Cross multiply
    298.96x = 448.45 × 144.86
  4. Step 4: Simplify right side
    298.96x = 64,959.86
  5. Step 5: Solve for x
    x = 64,959.86/298.96
  6. Step 6: Final answer
    x = 217.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.