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Finding the Fourth Proportional to 160.03, 241.24 and 149.59

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Solution

The fourth proportional to 160.03, 241.24 and 149.59 is: 225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.03 : 241.24 = 149.59 : x
  2. Step 2: Convert to fraction form
    160.03/241.24 = 149.59/x
  3. Step 3: Cross multiply
    160.03x = 241.24 × 149.59
  4. Step 4: Simplify right side
    160.03x = 36,087.09
  5. Step 5: Solve for x
    x = 36,087.09/160.03
  6. Step 6: Final answer
    x = 225.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.