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Finding the Fourth Proportional to 190.46, 285.71 and 60.43

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Solution

The fourth proportional to 190.46, 285.71 and 60.43 is: 90.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.46 : 285.71 = 60.43 : x
  2. Step 2: Convert to fraction form
    190.46/285.71 = 60.43/x
  3. Step 3: Cross multiply
    190.46x = 285.71 × 60.43
  4. Step 4: Simplify right side
    190.46x = 17,265.46
  5. Step 5: Solve for x
    x = 17,265.46/190.46
  6. Step 6: Final answer
    x = 90.65

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Why These Related Problems?

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