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Finding the Fourth Proportional to 284.60, 393 and 191.34

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Solution

The fourth proportional to 284.60, 393 and 191.34 is: 264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.60 : 393 = 191.34 : x
  2. Step 2: Convert to fraction form
    284.60/393 = 191.34/x
  3. Step 3: Cross multiply
    284.60x = 393 × 191.34
  4. Step 4: Simplify right side
    284.60x = 75,196.62
  5. Step 5: Solve for x
    x = 75,196.62/284.60
  6. Step 6: Final answer
    x = 264.22

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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.