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Finding the Fourth Proportional to 340.04, 469.20 and 200.18

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Solution

The fourth proportional to 340.04, 469.20 and 200.18 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.04 : 469.20 = 200.18 : x
  2. Step 2: Convert to fraction form
    340.04/469.20 = 200.18/x
  3. Step 3: Cross multiply
    340.04x = 469.20 × 200.18
  4. Step 4: Simplify right side
    340.04x = 93,922.11
  5. Step 5: Solve for x
    x = 93,922.11/340.04
  6. Step 6: Final answer
    x = 276.21

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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.