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Finding the Fourth Proportional to 737.93, 1,106.86 and 190.14

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Solution

The fourth proportional to 737.93, 1,106.86 and 190.14 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.93 : 1,106.86 = 190.14 : x
  2. Step 2: Convert to fraction form
    737.93/1,106.86 = 190.14/x
  3. Step 3: Cross multiply
    737.93x = 1,106.86 × 190.14
  4. Step 4: Simplify right side
    737.93x = 210,457.41
  5. Step 5: Solve for x
    x = 210,457.41/737.93
  6. Step 6: Final answer
    x = 285.20

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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.