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Finding the Fourth Proportional to 190.77, 263.16 and 146.63

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Solution

The fourth proportional to 190.77, 263.16 and 146.63 is: 202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.77 : 263.16 = 146.63 : x
  2. Step 2: Convert to fraction form
    190.77/263.16 = 146.63/x
  3. Step 3: Cross multiply
    190.77x = 263.16 × 146.63
  4. Step 4: Simplify right side
    190.77x = 38,585.84
  5. Step 5: Solve for x
    x = 38,585.84/190.77
  6. Step 6: Final answer
    x = 202.26

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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.