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Finding the Fourth Proportional to 743.98, 1,116.16 and 223.98

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Solution

The fourth proportional to 743.98, 1,116.16 and 223.98 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.98 : 1,116.16 = 223.98 : x
  2. Step 2: Convert to fraction form
    743.98/1,116.16 = 223.98/x
  3. Step 3: Cross multiply
    743.98x = 1,116.16 × 223.98
  4. Step 4: Simplify right side
    743.98x = 249,997.52
  5. Step 5: Solve for x
    x = 249,997.52/743.98
  6. Step 6: Final answer
    x = 336.03

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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.