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Finding the Fourth Proportional to 315.93, 435.78 and 197.78

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Solution

The fourth proportional to 315.93, 435.78 and 197.78 is: 272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 435.78 = 197.78 : x
  2. Step 2: Convert to fraction form
    315.93/435.78 = 197.78/x
  3. Step 3: Cross multiply
    315.93x = 435.78 × 197.78
  4. Step 4: Simplify right side
    315.93x = 86,186.39
  5. Step 5: Solve for x
    x = 86,186.39/315.93
  6. Step 6: Final answer
    x = 272.80

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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.