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Finding the Fourth Proportional to 655.85, 983.54 and 193.50

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Solution

The fourth proportional to 655.85, 983.54 and 193.50 is: 290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.85 : 983.54 = 193.50 : x
  2. Step 2: Convert to fraction form
    655.85/983.54 = 193.50/x
  3. Step 3: Cross multiply
    655.85x = 983.54 × 193.50
  4. Step 4: Simplify right side
    655.85x = 190,314.02
  5. Step 5: Solve for x
    x = 190,314.02/655.85
  6. Step 6: Final answer
    x = 290.18

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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.