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Finding the Fourth Proportional to 316.31, 436.51 and 178.31

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Solution

The fourth proportional to 316.31, 436.51 and 178.31 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.31 : 436.51 = 178.31 : x
  2. Step 2: Convert to fraction form
    316.31/436.51 = 178.31/x
  3. Step 3: Cross multiply
    316.31x = 436.51 × 178.31
  4. Step 4: Simplify right side
    316.31x = 77,835.41
  5. Step 5: Solve for x
    x = 77,835.41/316.31
  6. Step 6: Final answer
    x = 246.07

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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.