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Finding the Fourth Proportional to 313.57, 432.74 and 189.23

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Solution

The fourth proportional to 313.57, 432.74 and 189.23 is: 261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.57 : 432.74 = 189.23 : x
  2. Step 2: Convert to fraction form
    313.57/432.74 = 189.23/x
  3. Step 3: Cross multiply
    313.57x = 432.74 × 189.23
  4. Step 4: Simplify right side
    313.57x = 81,886.44
  5. Step 5: Solve for x
    x = 81,886.44/313.57
  6. Step 6: Final answer
    x = 261.15

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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.