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Finding the Fourth Proportional to 314.42, 433.90 and 190.14

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Solution

The fourth proportional to 314.42, 433.90 and 190.14 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 433.90 = 190.14 : x
  2. Step 2: Convert to fraction form
    314.42/433.90 = 190.14/x
  3. Step 3: Cross multiply
    314.42x = 433.90 × 190.14
  4. Step 4: Simplify right side
    314.42x = 82,501.75
  5. Step 5: Solve for x
    x = 82,501.75/314.42
  6. Step 6: Final answer
    x = 262.39

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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.