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Finding the Fourth Proportional to 736.13, 1,104.20 and 223.13

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Solution

The fourth proportional to 736.13, 1,104.20 and 223.13 is: 334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.13 : 1,104.20 = 223.13 : x
  2. Step 2: Convert to fraction form
    736.13/1,104.20 = 223.13/x
  3. Step 3: Cross multiply
    736.13x = 1,104.20 × 223.13
  4. Step 4: Simplify right side
    736.13x = 246,373.51
  5. Step 5: Solve for x
    x = 246,373.51/736.13
  6. Step 6: Final answer
    x = 334.69

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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.