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Finding the Fourth Proportional to 190.88, 263.55 and 147.14

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Solution

The fourth proportional to 190.88, 263.55 and 147.14 is: 203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.88 : 263.55 = 147.14 : x
  2. Step 2: Convert to fraction form
    190.88/263.55 = 147.14/x
  3. Step 3: Cross multiply
    190.88x = 263.55 × 147.14
  4. Step 4: Simplify right side
    190.88x = 38,778.75
  5. Step 5: Solve for x
    x = 38,778.75/190.88
  6. Step 6: Final answer
    x = 203.16

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