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Finding the Fourth Proportional to 316, 436.06 and 185

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Solution

The fourth proportional to 316, 436.06 and 185 is: 255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316 : 436.06 = 185 : x
  2. Step 2: Convert to fraction form
    316/436.06 = 185/x
  3. Step 3: Cross multiply
    316x = 436.06 × 185
  4. Step 4: Simplify right side
    316x = 80,671.10
  5. Step 5: Solve for x
    x = 80,671.10/316
  6. Step 6: Final answer
    x = 255.29

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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.