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Finding the Fourth Proportional to 208.34, 287.30 and 142

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Solution

The fourth proportional to 208.34, 287.30 and 142 is: 195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.34 : 287.30 = 142 : x
  2. Step 2: Convert to fraction form
    208.34/287.30 = 142/x
  3. Step 3: Cross multiply
    208.34x = 287.30 × 142
  4. Step 4: Simplify right side
    208.34x = 40,796.60
  5. Step 5: Solve for x
    x = 40,796.60/208.34
  6. Step 6: Final answer
    x = 195.82

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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.