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Finding the Fourth Proportional to 314.41, 433.93 and 190.07

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Solution

The fourth proportional to 314.41, 433.93 and 190.07 is: 262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.41 : 433.93 = 190.07 : x
  2. Step 2: Convert to fraction form
    314.41/433.93 = 190.07/x
  3. Step 3: Cross multiply
    314.41x = 433.93 × 190.07
  4. Step 4: Simplify right side
    314.41x = 82,477.68
  5. Step 5: Solve for x
    x = 82,477.68/314.41
  6. Step 6: Final answer
    x = 262.33

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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.