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Finding the Fourth Proportional to 340.68, 469.99 and 200.80

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Solution

The fourth proportional to 340.68, 469.99 and 200.80 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.68 : 469.99 = 200.80 : x
  2. Step 2: Convert to fraction form
    340.68/469.99 = 200.80/x
  3. Step 3: Cross multiply
    340.68x = 469.99 × 200.80
  4. Step 4: Simplify right side
    340.68x = 94,373.99
  5. Step 5: Solve for x
    x = 94,373.99/340.68
  6. Step 6: Final answer
    x = 277.02

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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.