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Finding the Fourth Proportional to 190.66, 286.04 and 75.10

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Solution

The fourth proportional to 190.66, 286.04 and 75.10 is: 112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.66 : 286.04 = 75.10 : x
  2. Step 2: Convert to fraction form
    190.66/286.04 = 75.10/x
  3. Step 3: Cross multiply
    190.66x = 286.04 × 75.10
  4. Step 4: Simplify right side
    190.66x = 21,482.05
  5. Step 5: Solve for x
    x = 21,482.05/190.66
  6. Step 6: Final answer
    x = 112.67

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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.