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Finding the Fourth Proportional to 340.14, 511.75 and 203.28

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Solution

The fourth proportional to 340.14, 511.75 and 203.28 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 511.75 = 203.28 : x
  2. Step 2: Convert to fraction form
    340.14/511.75 = 203.28/x
  3. Step 3: Cross multiply
    340.14x = 511.75 × 203.28
  4. Step 4: Simplify right side
    340.14x = 104,030.71
  5. Step 5: Solve for x
    x = 104,030.71/340.14
  6. Step 6: Final answer
    x = 305.85

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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.