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Finding the Fourth Proportional to 738.75, 1,108.20 and 190.93

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Solution

The fourth proportional to 738.75, 1,108.20 and 190.93 is: 286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.75 : 1,108.20 = 190.93 : x
  2. Step 2: Convert to fraction form
    738.75/1,108.20 = 190.93/x
  3. Step 3: Cross multiply
    738.75x = 1,108.20 × 190.93
  4. Step 4: Simplify right side
    738.75x = 211,588.63
  5. Step 5: Solve for x
    x = 211,588.63/738.75
  6. Step 6: Final answer
    x = 286.41

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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.