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Finding the Fourth Proportional to 160.00, 220.80 and 154.48

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Solution

The fourth proportional to 160.00, 220.80 and 154.48 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.00 : 220.80 = 154.48 : x
  2. Step 2: Convert to fraction form
    160.00/220.80 = 154.48/x
  3. Step 3: Cross multiply
    160.00x = 220.80 × 154.48
  4. Step 4: Simplify right side
    160.00x = 34,108.25
  5. Step 5: Solve for x
    x = 34,108.25/160.00
  6. Step 6: Final answer
    x = 213.18

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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.