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Finding the Fourth Proportional to 190.48, 285.71 and 185.35

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Solution

The fourth proportional to 190.48, 285.71 and 185.35 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.48 : 285.71 = 185.35 : x
  2. Step 2: Convert to fraction form
    190.48/285.71 = 185.35/x
  3. Step 3: Cross multiply
    190.48x = 285.71 × 185.35
  4. Step 4: Simplify right side
    190.48x = 52,954.71
  5. Step 5: Solve for x
    x = 52,954.71/190.48
  6. Step 6: Final answer
    x = 278.01

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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.