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Finding the Fourth Proportional to 316.02, 435.99 and 191.64

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Solution

The fourth proportional to 316.02, 435.99 and 191.64 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.02 : 435.99 = 191.64 : x
  2. Step 2: Convert to fraction form
    316.02/435.99 = 191.64/x
  3. Step 3: Cross multiply
    316.02x = 435.99 × 191.64
  4. Step 4: Simplify right side
    316.02x = 83,550.94
  5. Step 5: Solve for x
    x = 83,550.94/316.02
  6. Step 6: Final answer
    x = 264.38

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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.