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Finding the Fourth Proportional to 208.35, 288.86 and 203.49

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Solution

The fourth proportional to 208.35, 288.86 and 203.49 is: 282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.35 : 288.86 = 203.49 : x
  2. Step 2: Convert to fraction form
    208.35/288.86 = 203.49/x
  3. Step 3: Cross multiply
    208.35x = 288.86 × 203.49
  4. Step 4: Simplify right side
    208.35x = 58,779.10
  5. Step 5: Solve for x
    x = 58,779.10/208.35
  6. Step 6: Final answer
    x = 282.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.