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Finding the Fourth Proportional to 160.53, 221.73 and 140.07

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Solution

The fourth proportional to 160.53, 221.73 and 140.07 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 221.73 = 140.07 : x
  2. Step 2: Convert to fraction form
    160.53/221.73 = 140.07/x
  3. Step 3: Cross multiply
    160.53x = 221.73 × 140.07
  4. Step 4: Simplify right side
    160.53x = 31,057.72
  5. Step 5: Solve for x
    x = 31,057.72/160.53
  6. Step 6: Final answer
    x = 193.47

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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.