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Finding the Fourth Proportional to 190.48, 285.28 and 172.28

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Solution

The fourth proportional to 190.48, 285.28 and 172.28 is: 258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.48 : 285.28 = 172.28 : x
  2. Step 2: Convert to fraction form
    190.48/285.28 = 172.28/x
  3. Step 3: Cross multiply
    190.48x = 285.28 × 172.28
  4. Step 4: Simplify right side
    190.48x = 49,148.04
  5. Step 5: Solve for x
    x = 49,148.04/190.48
  6. Step 6: Final answer
    x = 258.02

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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.