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Finding the Fourth Proportional to 316.68, 436.83 and 234

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Solution

The fourth proportional to 316.68, 436.83 and 234 is: 322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.68 : 436.83 = 234 : x
  2. Step 2: Convert to fraction form
    316.68/436.83 = 234/x
  3. Step 3: Cross multiply
    316.68x = 436.83 × 234
  4. Step 4: Simplify right side
    316.68x = 102,218.22
  5. Step 5: Solve for x
    x = 102,218.22/316.68
  6. Step 6: Final answer
    x = 322.78

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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.