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Finding the Fourth Proportional to 320.68, 442.53 and 196.35

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Solution

The fourth proportional to 320.68, 442.53 and 196.35 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.68 : 442.53 = 196.35 : x
  2. Step 2: Convert to fraction form
    320.68/442.53 = 196.35/x
  3. Step 3: Cross multiply
    320.68x = 442.53 × 196.35
  4. Step 4: Simplify right side
    320.68x = 86,890.77
  5. Step 5: Solve for x
    x = 86,890.77/320.68
  6. Step 6: Final answer
    x = 270.96

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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.