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Finding the Fourth Proportional to 253.84, 350.14 and 160.54

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Solution

The fourth proportional to 253.84, 350.14 and 160.54 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 350.14 = 160.54 : x
  2. Step 2: Convert to fraction form
    253.84/350.14 = 160.54/x
  3. Step 3: Cross multiply
    253.84x = 350.14 × 160.54
  4. Step 4: Simplify right side
    253.84x = 56,211.48
  5. Step 5: Solve for x
    x = 56,211.48/253.84
  6. Step 6: Final answer
    x = 221.44

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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.