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Finding the Fourth Proportional to 190.42, 285.64 and 82.30

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Solution

The fourth proportional to 190.42, 285.64 and 82.30 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.42 : 285.64 = 82.30 : x
  2. Step 2: Convert to fraction form
    190.42/285.64 = 82.30/x
  3. Step 3: Cross multiply
    190.42x = 285.64 × 82.30
  4. Step 4: Simplify right side
    190.42x = 23,508.17
  5. Step 5: Solve for x
    x = 23,508.17/190.42
  6. Step 6: Final answer
    x = 123.45

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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.