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Finding the Fourth Proportional to 340.69, 469.96 and 200.77

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Solution

The fourth proportional to 340.69, 469.96 and 200.77 is: 276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 469.96 = 200.77 : x
  2. Step 2: Convert to fraction form
    340.69/469.96 = 200.77/x
  3. Step 3: Cross multiply
    340.69x = 469.96 × 200.77
  4. Step 4: Simplify right side
    340.69x = 94,353.87
  5. Step 5: Solve for x
    x = 94,353.87/340.69
  6. Step 6: Final answer
    x = 276.95

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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.