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Finding the Fourth Proportional to 254.31, 351.02 and 160.99

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Solution

The fourth proportional to 254.31, 351.02 and 160.99 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.31 : 351.02 = 160.99 : x
  2. Step 2: Convert to fraction form
    254.31/351.02 = 160.99/x
  3. Step 3: Cross multiply
    254.31x = 351.02 × 160.99
  4. Step 4: Simplify right side
    254.31x = 56,510.71
  5. Step 5: Solve for x
    x = 56,510.71/254.31
  6. Step 6: Final answer
    x = 222.21

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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.