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Finding the Fourth Proportional to 321, 442.91 and 190.01

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Solution

The fourth proportional to 321, 442.91 and 190.01 is: 262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 442.91 = 190.01 : x
  2. Step 2: Convert to fraction form
    321/442.91 = 190.01/x
  3. Step 3: Cross multiply
    321x = 442.91 × 190.01
  4. Step 4: Simplify right side
    321x = 84,157.33
  5. Step 5: Solve for x
    x = 84,157.33/321
  6. Step 6: Final answer
    x = 262.17

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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.