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Finding the Fourth Proportional to 217.27, 299.05 and 180.01

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Solution

The fourth proportional to 217.27, 299.05 and 180.01 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.27 : 299.05 = 180.01 : x
  2. Step 2: Convert to fraction form
    217.27/299.05 = 180.01/x
  3. Step 3: Cross multiply
    217.27x = 299.05 × 180.01
  4. Step 4: Simplify right side
    217.27x = 53,831.99
  5. Step 5: Solve for x
    x = 53,831.99/217.27
  6. Step 6: Final answer
    x = 247.77

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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.