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Finding the Fourth Proportional to 213.75, 320.93 and 132.35

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Solution

The fourth proportional to 213.75, 320.93 and 132.35 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 320.93 = 132.35 : x
  2. Step 2: Convert to fraction form
    213.75/320.93 = 132.35/x
  3. Step 3: Cross multiply
    213.75x = 320.93 × 132.35
  4. Step 4: Simplify right side
    213.75x = 42,472.82
  5. Step 5: Solve for x
    x = 42,472.82/213.75
  6. Step 6: Final answer
    x = 198.70

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