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Finding the Fourth Proportional to 217.81, 300.63 and 147.91

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Solution

The fourth proportional to 217.81, 300.63 and 147.91 is: 204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.81 : 300.63 = 147.91 : x
  2. Step 2: Convert to fraction form
    217.81/300.63 = 147.91/x
  3. Step 3: Cross multiply
    217.81x = 300.63 × 147.91
  4. Step 4: Simplify right side
    217.81x = 44,465.44
  5. Step 5: Solve for x
    x = 44,465.44/217.81
  6. Step 6: Final answer
    x = 204.15

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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.