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Finding the Fourth Proportional to 314.29, 433.73 and 189.92

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Solution

The fourth proportional to 314.29, 433.73 and 189.92 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.29 : 433.73 = 189.92 : x
  2. Step 2: Convert to fraction form
    314.29/433.73 = 189.92/x
  3. Step 3: Cross multiply
    314.29x = 433.73 × 189.92
  4. Step 4: Simplify right side
    314.29x = 82,373.05
  5. Step 5: Solve for x
    x = 82,373.05/314.29
  6. Step 6: Final answer
    x = 262.10

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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.