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Finding the Fourth Proportional to 253.14, 349.47 and 160.05

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Solution

The fourth proportional to 253.14, 349.47 and 160.05 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.14 : 349.47 = 160.05 : x
  2. Step 2: Convert to fraction form
    253.14/349.47 = 160.05/x
  3. Step 3: Cross multiply
    253.14x = 349.47 × 160.05
  4. Step 4: Simplify right side
    253.14x = 55,932.67
  5. Step 5: Solve for x
    x = 55,932.67/253.14
  6. Step 6: Final answer
    x = 220.96

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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.