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Finding the Fourth Proportional to 254.72, 351.78 and 210.62

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Solution

The fourth proportional to 254.72, 351.78 and 210.62 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.72 : 351.78 = 210.62 : x
  2. Step 2: Convert to fraction form
    254.72/351.78 = 210.62/x
  3. Step 3: Cross multiply
    254.72x = 351.78 × 210.62
  4. Step 4: Simplify right side
    254.72x = 74,091.90
  5. Step 5: Solve for x
    x = 74,091.90/254.72
  6. Step 6: Final answer
    x = 290.88

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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.