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Finding the Fourth Proportional to 465.94, 699.15 and 191.98

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Solution

The fourth proportional to 465.94, 699.15 and 191.98 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 699.15 = 191.98 : x
  2. Step 2: Convert to fraction form
    465.94/699.15 = 191.98/x
  3. Step 3: Cross multiply
    465.94x = 699.15 × 191.98
  4. Step 4: Simplify right side
    465.94x = 134,222.82
  5. Step 5: Solve for x
    x = 134,222.82/465.94
  6. Step 6: Final answer
    x = 288.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.