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Finding the Fourth Proportional to 160.49, 221.45 and 119.06

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Solution

The fourth proportional to 160.49, 221.45 and 119.06 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.49 : 221.45 = 119.06 : x
  2. Step 2: Convert to fraction form
    160.49/221.45 = 119.06/x
  3. Step 3: Cross multiply
    160.49x = 221.45 × 119.06
  4. Step 4: Simplify right side
    160.49x = 26,365.84
  5. Step 5: Solve for x
    x = 26,365.84/160.49
  6. Step 6: Final answer
    x = 164.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.