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Finding the Fourth Proportional to 162.84, 223.52 and 155.80

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Solution

The fourth proportional to 162.84, 223.52 and 155.80 is: 213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 223.52 = 155.80 : x
  2. Step 2: Convert to fraction form
    162.84/223.52 = 155.80/x
  3. Step 3: Cross multiply
    162.84x = 223.52 × 155.80
  4. Step 4: Simplify right side
    162.84x = 34,824.42
  5. Step 5: Solve for x
    x = 34,824.42/162.84
  6. Step 6: Final answer
    x = 213.86

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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.