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Finding the Fourth Proportional to 321.09, 442.90 and 190

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Solution

The fourth proportional to 321.09, 442.90 and 190 is: 262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.09 : 442.90 = 190 : x
  2. Step 2: Convert to fraction form
    321.09/442.90 = 190/x
  3. Step 3: Cross multiply
    321.09x = 442.90 × 190
  4. Step 4: Simplify right side
    321.09x = 84,151
  5. Step 5: Solve for x
    x = 84,151/321.09
  6. Step 6: Final answer
    x = 262.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.