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Finding the Fourth Proportional to 312.75, 431.59 and 188.41

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Solution

The fourth proportional to 312.75, 431.59 and 188.41 is: 260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 431.59 = 188.41 : x
  2. Step 2: Convert to fraction form
    312.75/431.59 = 188.41/x
  3. Step 3: Cross multiply
    312.75x = 431.59 × 188.41
  4. Step 4: Simplify right side
    312.75x = 81,315.87
  5. Step 5: Solve for x
    x = 81,315.87/312.75
  6. Step 6: Final answer
    x = 260.00

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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.