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Finding the Fourth Proportional to 213.50, 320 and 190.74

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Solution

The fourth proportional to 213.50, 320 and 190.74 is: 285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 320 = 190.74 : x
  2. Step 2: Convert to fraction form
    213.50/320 = 190.74/x
  3. Step 3: Cross multiply
    213.50x = 320 × 190.74
  4. Step 4: Simplify right side
    213.50x = 61,036.80
  5. Step 5: Solve for x
    x = 61,036.80/213.50
  6. Step 6: Final answer
    x = 285.89

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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.