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Finding the Fourth Proportional to 213.34, 320.46 and 204.88

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Solution

The fourth proportional to 213.34, 320.46 and 204.88 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 320.46 = 204.88 : x
  2. Step 2: Convert to fraction form
    213.34/320.46 = 204.88/x
  3. Step 3: Cross multiply
    213.34x = 320.46 × 204.88
  4. Step 4: Simplify right side
    213.34x = 65,655.84
  5. Step 5: Solve for x
    x = 65,655.84/213.34
  6. Step 6: Final answer
    x = 307.75

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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.