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Finding the Fourth Proportional to 213.85, 295.25 and 155.03

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Solution

The fourth proportional to 213.85, 295.25 and 155.03 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 295.25 = 155.03 : x
  2. Step 2: Convert to fraction form
    213.85/295.25 = 155.03/x
  3. Step 3: Cross multiply
    213.85x = 295.25 × 155.03
  4. Step 4: Simplify right side
    213.85x = 45,772.96
  5. Step 5: Solve for x
    x = 45,772.96/213.85
  6. Step 6: Final answer
    x = 214.04

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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.