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Finding the Fourth Proportional to 213, 321.45 and 211.74

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Solution

The fourth proportional to 213, 321.45 and 211.74 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 321.45 = 211.74 : x
  2. Step 2: Convert to fraction form
    213/321.45 = 211.74/x
  3. Step 3: Cross multiply
    213x = 321.45 × 211.74
  4. Step 4: Simplify right side
    213x = 68,063.82
  5. Step 5: Solve for x
    x = 68,063.82/213
  6. Step 6: Final answer
    x = 319.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.