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Finding the Fourth Proportional to 217.75, 301.93 and 210.05

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Solution

The fourth proportional to 217.75, 301.93 and 210.05 is: 291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.75 : 301.93 = 210.05 : x
  2. Step 2: Convert to fraction form
    217.75/301.93 = 210.05/x
  3. Step 3: Cross multiply
    217.75x = 301.93 × 210.05
  4. Step 4: Simplify right side
    217.75x = 63,419.35
  5. Step 5: Solve for x
    x = 63,419.35/217.75
  6. Step 6: Final answer
    x = 291.26

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.