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Finding the Fourth Proportional to 316.22, 436.38 and 176.34

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Solution

The fourth proportional to 316.22, 436.38 and 176.34 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.22 : 436.38 = 176.34 : x
  2. Step 2: Convert to fraction form
    316.22/436.38 = 176.34/x
  3. Step 3: Cross multiply
    316.22x = 436.38 × 176.34
  4. Step 4: Simplify right side
    316.22x = 76,949.07
  5. Step 5: Solve for x
    x = 76,949.07/316.22
  6. Step 6: Final answer
    x = 243.34

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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.