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Finding the Fourth Proportional to 314.26, 433.64 and 189.92

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Solution

The fourth proportional to 314.26, 433.64 and 189.92 is: 262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 433.64 = 189.92 : x
  2. Step 2: Convert to fraction form
    314.26/433.64 = 189.92/x
  3. Step 3: Cross multiply
    314.26x = 433.64 × 189.92
  4. Step 4: Simplify right side
    314.26x = 82,358.47
  5. Step 5: Solve for x
    x = 82,358.47/314.26
  6. Step 6: Final answer
    x = 262.07

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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.