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Finding the Fourth Proportional to 315.96, 435.98 and 199.50

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Solution

The fourth proportional to 315.96, 435.98 and 199.50 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 435.98 = 199.50 : x
  2. Step 2: Convert to fraction form
    315.96/435.98 = 199.50/x
  3. Step 3: Cross multiply
    315.96x = 435.98 × 199.50
  4. Step 4: Simplify right side
    315.96x = 86,978.01
  5. Step 5: Solve for x
    x = 86,978.01/315.96
  6. Step 6: Final answer
    x = 275.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.