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Finding the Fourth Proportional to 213.02, 293.86 and 125.67

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Solution

The fourth proportional to 213.02, 293.86 and 125.67 is: 173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.02 : 293.86 = 125.67 : x
  2. Step 2: Convert to fraction form
    213.02/293.86 = 125.67/x
  3. Step 3: Cross multiply
    213.02x = 293.86 × 125.67
  4. Step 4: Simplify right side
    213.02x = 36,929.39
  5. Step 5: Solve for x
    x = 36,929.39/213.02
  6. Step 6: Final answer
    x = 173.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.