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Finding the Fourth Proportional to 316.14, 436.26 and 176.26

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Solution

The fourth proportional to 316.14, 436.26 and 176.26 is: 243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.14 : 436.26 = 176.26 : x
  2. Step 2: Convert to fraction form
    316.14/436.26 = 176.26/x
  3. Step 3: Cross multiply
    316.14x = 436.26 × 176.26
  4. Step 4: Simplify right side
    316.14x = 76,893.01
  5. Step 5: Solve for x
    x = 76,893.01/316.14
  6. Step 6: Final answer
    x = 243.22

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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.