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Finding the Fourth Proportional to 655.98, 983.96 and 193.76

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Solution

The fourth proportional to 655.98, 983.96 and 193.76 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.98 : 983.96 = 193.76 : x
  2. Step 2: Convert to fraction form
    655.98/983.96 = 193.76/x
  3. Step 3: Cross multiply
    655.98x = 983.96 × 193.76
  4. Step 4: Simplify right side
    655.98x = 190,651.71
  5. Step 5: Solve for x
    x = 190,651.71/655.98
  6. Step 6: Final answer
    x = 290.64

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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.