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Finding the Fourth Proportional to 313.92, 432.95 and 201.91

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Solution

The fourth proportional to 313.92, 432.95 and 201.91 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 432.95 = 201.91 : x
  2. Step 2: Convert to fraction form
    313.92/432.95 = 201.91/x
  3. Step 3: Cross multiply
    313.92x = 432.95 × 201.91
  4. Step 4: Simplify right side
    313.92x = 87,413.83
  5. Step 5: Solve for x
    x = 87,413.83/313.92
  6. Step 6: Final answer
    x = 278.46

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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.