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Finding the Fourth Proportional to 298.17, 447.10 and 151.77

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Solution

The fourth proportional to 298.17, 447.10 and 151.77 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.17 : 447.10 = 151.77 : x
  2. Step 2: Convert to fraction form
    298.17/447.10 = 151.77/x
  3. Step 3: Cross multiply
    298.17x = 447.10 × 151.77
  4. Step 4: Simplify right side
    298.17x = 67,856.37
  5. Step 5: Solve for x
    x = 67,856.37/298.17
  6. Step 6: Final answer
    x = 227.58

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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.