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Finding the Fourth Proportional to 315.49, 435.42 and 191.23

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Solution

The fourth proportional to 315.49, 435.42 and 191.23 is: 263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.49 : 435.42 = 191.23 : x
  2. Step 2: Convert to fraction form
    315.49/435.42 = 191.23/x
  3. Step 3: Cross multiply
    315.49x = 435.42 × 191.23
  4. Step 4: Simplify right side
    315.49x = 83,265.37
  5. Step 5: Solve for x
    x = 83,265.37/315.49
  6. Step 6: Final answer
    x = 263.92

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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.