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Finding the Fourth Proportional to 160.53, 241.96 and 150.62

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Solution

The fourth proportional to 160.53, 241.96 and 150.62 is: 227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 241.96 = 150.62 : x
  2. Step 2: Convert to fraction form
    160.53/241.96 = 150.62/x
  3. Step 3: Cross multiply
    160.53x = 241.96 × 150.62
  4. Step 4: Simplify right side
    160.53x = 36,444.02
  5. Step 5: Solve for x
    x = 36,444.02/160.53
  6. Step 6: Final answer
    x = 227.02

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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.