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Finding the Fourth Proportional to 741.20, 1,111.86 and 193.44

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Solution

The fourth proportional to 741.20, 1,111.86 and 193.44 is: 290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.20 : 1,111.86 = 193.44 : x
  2. Step 2: Convert to fraction form
    741.20/1,111.86 = 193.44/x
  3. Step 3: Cross multiply
    741.20x = 1,111.86 × 193.44
  4. Step 4: Simplify right side
    741.20x = 215,077.23
  5. Step 5: Solve for x
    x = 215,077.23/741.20
  6. Step 6: Final answer
    x = 290.17

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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.