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Finding the Fourth Proportional to 262.06, 392.19 and 190.06

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Solution

The fourth proportional to 262.06, 392.19 and 190.06 is: 284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.06 : 392.19 = 190.06 : x
  2. Step 2: Convert to fraction form
    262.06/392.19 = 190.06/x
  3. Step 3: Cross multiply
    262.06x = 392.19 × 190.06
  4. Step 4: Simplify right side
    262.06x = 74,539.63
  5. Step 5: Solve for x
    x = 74,539.63/262.06
  6. Step 6: Final answer
    x = 284.44

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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.