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Finding the Fourth Proportional to 217.60, 300.35 and 152.12

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Solution

The fourth proportional to 217.60, 300.35 and 152.12 is: 209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.60 : 300.35 = 152.12 : x
  2. Step 2: Convert to fraction form
    217.60/300.35 = 152.12/x
  3. Step 3: Cross multiply
    217.60x = 300.35 × 152.12
  4. Step 4: Simplify right side
    217.60x = 45,689.24
  5. Step 5: Solve for x
    x = 45,689.24/217.60
  6. Step 6: Final answer
    x = 209.97

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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.