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Finding the Fourth Proportional to 160.84, 220.76 and 154.16

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Solution

The fourth proportional to 160.84, 220.76 and 154.16 is: 211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 220.76 = 154.16 : x
  2. Step 2: Convert to fraction form
    160.84/220.76 = 154.16/x
  3. Step 3: Cross multiply
    160.84x = 220.76 × 154.16
  4. Step 4: Simplify right side
    160.84x = 34,032.36
  5. Step 5: Solve for x
    x = 34,032.36/160.84
  6. Step 6: Final answer
    x = 211.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.