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Finding the Fourth Proportional to 298.54, 448.08 and 144.57

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Solution

The fourth proportional to 298.54, 448.08 and 144.57 is: 216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.54 : 448.08 = 144.57 : x
  2. Step 2: Convert to fraction form
    298.54/448.08 = 144.57/x
  3. Step 3: Cross multiply
    298.54x = 448.08 × 144.57
  4. Step 4: Simplify right side
    298.54x = 64,778.20
  5. Step 5: Solve for x
    x = 64,778.20/298.54
  6. Step 6: Final answer
    x = 216.99

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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.