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Finding the Fourth Proportional to 149.25, 223.93 and 76.19

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Solution

The fourth proportional to 149.25, 223.93 and 76.19 is: 114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.25 : 223.93 = 76.19 : x
  2. Step 2: Convert to fraction form
    149.25/223.93 = 76.19/x
  3. Step 3: Cross multiply
    149.25x = 223.93 × 76.19
  4. Step 4: Simplify right side
    149.25x = 17,061.23
  5. Step 5: Solve for x
    x = 17,061.23/149.25
  6. Step 6: Final answer
    x = 114.31

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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.