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Finding the Fourth Proportional to 298.53, 448.00 and 144.63

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Solution

The fourth proportional to 298.53, 448.00 and 144.63 is: 217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 448.00 = 144.63 : x
  2. Step 2: Convert to fraction form
    298.53/448.00 = 144.63/x
  3. Step 3: Cross multiply
    298.53x = 448.00 × 144.63
  4. Step 4: Simplify right side
    298.53x = 64,793.88
  5. Step 5: Solve for x
    x = 64,793.88/298.53
  6. Step 6: Final answer
    x = 217.04

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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.