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Finding the Fourth Proportional to 313.77, 432.90 and 189.57

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Solution

The fourth proportional to 313.77, 432.90 and 189.57 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.77 : 432.90 = 189.57 : x
  2. Step 2: Convert to fraction form
    313.77/432.90 = 189.57/x
  3. Step 3: Cross multiply
    313.77x = 432.90 × 189.57
  4. Step 4: Simplify right side
    313.77x = 82,064.85
  5. Step 5: Solve for x
    x = 82,064.85/313.77
  6. Step 6: Final answer
    x = 261.54

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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.