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Finding the Fourth Proportional to 190.47, 285.77 and 62.31

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Solution

The fourth proportional to 190.47, 285.77 and 62.31 is: 93.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 285.77 = 62.31 : x
  2. Step 2: Convert to fraction form
    190.47/285.77 = 62.31/x
  3. Step 3: Cross multiply
    190.47x = 285.77 × 62.31
  4. Step 4: Simplify right side
    190.47x = 17,806.02
  5. Step 5: Solve for x
    x = 17,806.02/190.47
  6. Step 6: Final answer
    x = 93.48

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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.