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Finding the Fourth Proportional to 217.06, 299.21 and 154.76

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Solution

The fourth proportional to 217.06, 299.21 and 154.76 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.06 : 299.21 = 154.76 : x
  2. Step 2: Convert to fraction form
    217.06/299.21 = 154.76/x
  3. Step 3: Cross multiply
    217.06x = 299.21 × 154.76
  4. Step 4: Simplify right side
    217.06x = 46,303.47
  5. Step 5: Solve for x
    x = 46,303.47/217.06
  6. Step 6: Final answer
    x = 213.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.