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Finding the Fourth Proportional to 213.84, 321.06 and 186.50

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Solution

The fourth proportional to 213.84, 321.06 and 186.50 is: 280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 321.06 = 186.50 : x
  2. Step 2: Convert to fraction form
    213.84/321.06 = 186.50/x
  3. Step 3: Cross multiply
    213.84x = 321.06 × 186.50
  4. Step 4: Simplify right side
    213.84x = 59,877.69
  5. Step 5: Solve for x
    x = 59,877.69/213.84
  6. Step 6: Final answer
    x = 280.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.