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Finding the Fourth Proportional to 190.51, 285.33 and 98.98

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Solution

The fourth proportional to 190.51, 285.33 and 98.98 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.51 : 285.33 = 98.98 : x
  2. Step 2: Convert to fraction form
    190.51/285.33 = 98.98/x
  3. Step 3: Cross multiply
    190.51x = 285.33 × 98.98
  4. Step 4: Simplify right side
    190.51x = 28,241.96
  5. Step 5: Solve for x
    x = 28,241.96/190.51
  6. Step 6: Final answer
    x = 148.24

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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.