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Finding the Fourth Proportional to 316.05, 436.14 and 199.50

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Solution

The fourth proportional to 316.05, 436.14 and 199.50 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.05 : 436.14 = 199.50 : x
  2. Step 2: Convert to fraction form
    316.05/436.14 = 199.50/x
  3. Step 3: Cross multiply
    316.05x = 436.14 × 199.50
  4. Step 4: Simplify right side
    316.05x = 87,009.93
  5. Step 5: Solve for x
    x = 87,009.93/316.05
  6. Step 6: Final answer
    x = 275.30

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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.