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Finding the Fourth Proportional to 208.85, 288.23 and 150.66

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Solution

The fourth proportional to 208.85, 288.23 and 150.66 is: 207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 288.23 = 150.66 : x
  2. Step 2: Convert to fraction form
    208.85/288.23 = 150.66/x
  3. Step 3: Cross multiply
    208.85x = 288.23 × 150.66
  4. Step 4: Simplify right side
    208.85x = 43,424.36
  5. Step 5: Solve for x
    x = 43,424.36/208.85
  6. Step 6: Final answer
    x = 207.93

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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.