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Finding the Fourth Proportional to 217.41, 300.07 and 147.58

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Solution

The fourth proportional to 217.41, 300.07 and 147.58 is: 203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.41 : 300.07 = 147.58 : x
  2. Step 2: Convert to fraction form
    217.41/300.07 = 147.58/x
  3. Step 3: Cross multiply
    217.41x = 300.07 × 147.58
  4. Step 4: Simplify right side
    217.41x = 44,284.89
  5. Step 5: Solve for x
    x = 44,284.89/217.41
  6. Step 6: Final answer
    x = 203.70

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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.