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Finding the Fourth Proportional to 213.34, 295.24 and 209.74

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Solution

The fourth proportional to 213.34, 295.24 and 209.74 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 295.24 = 209.74 : x
  2. Step 2: Convert to fraction form
    213.34/295.24 = 209.74/x
  3. Step 3: Cross multiply
    213.34x = 295.24 × 209.74
  4. Step 4: Simplify right side
    213.34x = 61,923.64
  5. Step 5: Solve for x
    x = 61,923.64/213.34
  6. Step 6: Final answer
    x = 290.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.