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Finding the Fourth Proportional to 741.11, 1,111.64 and 193.27

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Solution

The fourth proportional to 741.11, 1,111.64 and 193.27 is: 289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.11 : 1,111.64 = 193.27 : x
  2. Step 2: Convert to fraction form
    741.11/1,111.64 = 193.27/x
  3. Step 3: Cross multiply
    741.11x = 1,111.64 × 193.27
  4. Step 4: Simplify right side
    741.11x = 214,844.37
  5. Step 5: Solve for x
    x = 214,844.37/741.11
  6. Step 6: Final answer
    x = 289.90

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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.