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Finding the Fourth Proportional to 190.24, 285.60 and 176.80

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Solution

The fourth proportional to 190.24, 285.60 and 176.80 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 285.60 = 176.80 : x
  2. Step 2: Convert to fraction form
    190.24/285.60 = 176.80/x
  3. Step 3: Cross multiply
    190.24x = 285.60 × 176.80
  4. Step 4: Simplify right side
    190.24x = 50,494.08
  5. Step 5: Solve for x
    x = 50,494.08/190.24
  6. Step 6: Final answer
    x = 265.42

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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.