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Finding the Fourth Proportional to 213.34, 319.23 and 176.43

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Solution

The fourth proportional to 213.34, 319.23 and 176.43 is: 264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 319.23 = 176.43 : x
  2. Step 2: Convert to fraction form
    213.34/319.23 = 176.43/x
  3. Step 3: Cross multiply
    213.34x = 319.23 × 176.43
  4. Step 4: Simplify right side
    213.34x = 56,321.75
  5. Step 5: Solve for x
    x = 56,321.75/213.34
  6. Step 6: Final answer
    x = 264.00

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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.