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Finding the Fourth Proportional to 655.96, 983.95 and 193.74

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Solution

The fourth proportional to 655.96, 983.95 and 193.74 is: 290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 983.95 = 193.74 : x
  2. Step 2: Convert to fraction form
    655.96/983.95 = 193.74/x
  3. Step 3: Cross multiply
    655.96x = 983.95 × 193.74
  4. Step 4: Simplify right side
    655.96x = 190,634.60
  5. Step 5: Solve for x
    x = 190,634.60/655.96
  6. Step 6: Final answer
    x = 290.62

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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.