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Finding the Fourth Proportional to 160.05, 221.88 and 151.83

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Solution

The fourth proportional to 160.05, 221.88 and 151.83 is: 210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 221.88 = 151.83 : x
  2. Step 2: Convert to fraction form
    160.05/221.88 = 151.83/x
  3. Step 3: Cross multiply
    160.05x = 221.88 × 151.83
  4. Step 4: Simplify right side
    160.05x = 33,688.04
  5. Step 5: Solve for x
    x = 33,688.04/160.05
  6. Step 6: Final answer
    x = 210.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.