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Finding the Fourth Proportional to 160.24, 221.16 and 145.84

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Solution

The fourth proportional to 160.24, 221.16 and 145.84 is: 201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 221.16 = 145.84 : x
  2. Step 2: Convert to fraction form
    160.24/221.16 = 145.84/x
  3. Step 3: Cross multiply
    160.24x = 221.16 × 145.84
  4. Step 4: Simplify right side
    160.24x = 32,253.97
  5. Step 5: Solve for x
    x = 32,253.97/160.24
  6. Step 6: Final answer
    x = 201.29

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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.