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Finding the Fourth Proportional to 160.25, 221.13 and 146.48

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Solution

The fourth proportional to 160.25, 221.13 and 146.48 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.25 : 221.13 = 146.48 : x
  2. Step 2: Convert to fraction form
    160.25/221.13 = 146.48/x
  3. Step 3: Cross multiply
    160.25x = 221.13 × 146.48
  4. Step 4: Simplify right side
    160.25x = 32,390.02
  5. Step 5: Solve for x
    x = 32,390.02/160.25
  6. Step 6: Final answer
    x = 202.13

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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.