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Finding the Fourth Proportional to 313.43, 432.40 and 189.05

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Solution

The fourth proportional to 313.43, 432.40 and 189.05 is: 260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.43 : 432.40 = 189.05 : x
  2. Step 2: Convert to fraction form
    313.43/432.40 = 189.05/x
  3. Step 3: Cross multiply
    313.43x = 432.40 × 189.05
  4. Step 4: Simplify right side
    313.43x = 81,745.22
  5. Step 5: Solve for x
    x = 81,745.22/313.43
  6. Step 6: Final answer
    x = 260.81

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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.