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Finding the Fourth Proportional to 217.35, 300.06 and 147.47

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Solution

The fourth proportional to 217.35, 300.06 and 147.47 is: 203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.35 : 300.06 = 147.47 : x
  2. Step 2: Convert to fraction form
    217.35/300.06 = 147.47/x
  3. Step 3: Cross multiply
    217.35x = 300.06 × 147.47
  4. Step 4: Simplify right side
    217.35x = 44,248.35
  5. Step 5: Solve for x
    x = 44,248.35/217.35
  6. Step 6: Final answer
    x = 203.58

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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.