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Finding the Fourth Proportional to 212.96, 319.54 and 204.68

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Solution

The fourth proportional to 212.96, 319.54 and 204.68 is: 307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 319.54 = 204.68 : x
  2. Step 2: Convert to fraction form
    212.96/319.54 = 204.68/x
  3. Step 3: Cross multiply
    212.96x = 319.54 × 204.68
  4. Step 4: Simplify right side
    212.96x = 65,403.45
  5. Step 5: Solve for x
    x = 65,403.45/212.96
  6. Step 6: Final answer
    x = 307.12

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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.