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Finding the Fourth Proportional to 190.65, 285.55 and 99.43

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Solution

The fourth proportional to 190.65, 285.55 and 99.43 is: 148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.65 : 285.55 = 99.43 : x
  2. Step 2: Convert to fraction form
    190.65/285.55 = 99.43/x
  3. Step 3: Cross multiply
    190.65x = 285.55 × 99.43
  4. Step 4: Simplify right side
    190.65x = 28,392.24
  5. Step 5: Solve for x
    x = 28,392.24/190.65
  6. Step 6: Final answer
    x = 148.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.