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Finding the Fourth Proportional to 354.65, 531.57 and 191.99

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Solution

The fourth proportional to 354.65, 531.57 and 191.99 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.65 : 531.57 = 191.99 : x
  2. Step 2: Convert to fraction form
    354.65/531.57 = 191.99/x
  3. Step 3: Cross multiply
    354.65x = 531.57 × 191.99
  4. Step 4: Simplify right side
    354.65x = 102,056.12
  5. Step 5: Solve for x
    x = 102,056.12/354.65
  6. Step 6: Final answer
    x = 287.77

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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.