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Finding the Fourth Proportional to 315.39, 435.45 and 191.27

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Solution

The fourth proportional to 315.39, 435.45 and 191.27 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.39 : 435.45 = 191.27 : x
  2. Step 2: Convert to fraction form
    315.39/435.45 = 191.27/x
  3. Step 3: Cross multiply
    315.39x = 435.45 × 191.27
  4. Step 4: Simplify right side
    315.39x = 83,290.33
  5. Step 5: Solve for x
    x = 83,290.33/315.39
  6. Step 6: Final answer
    x = 264.08

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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.