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Finding the Fourth Proportional to 190.94, 262.98 and 146.72

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Solution

The fourth proportional to 190.94, 262.98 and 146.72 is: 202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.94 : 262.98 = 146.72 : x
  2. Step 2: Convert to fraction form
    190.94/262.98 = 146.72/x
  3. Step 3: Cross multiply
    190.94x = 262.98 × 146.72
  4. Step 4: Simplify right side
    190.94x = 38,585.08
  5. Step 5: Solve for x
    x = 38,585.08/190.94
  6. Step 6: Final answer
    x = 202.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.