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Finding the Fourth Proportional to 789.90, 1,184.92 and 242.22

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Solution

The fourth proportional to 789.90, 1,184.92 and 242.22 is: 363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.90 : 1,184.92 = 242.22 : x
  2. Step 2: Convert to fraction form
    789.90/1,184.92 = 242.22/x
  3. Step 3: Cross multiply
    789.90x = 1,184.92 × 242.22
  4. Step 4: Simplify right side
    789.90x = 287,011.32
  5. Step 5: Solve for x
    x = 287,011.32/789.90
  6. Step 6: Final answer
    x = 363.35

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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.