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Finding the Fourth Proportional to 208.96, 288.29 and 126

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Solution

The fourth proportional to 208.96, 288.29 and 126 is: 173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.96 : 288.29 = 126 : x
  2. Step 2: Convert to fraction form
    208.96/288.29 = 126/x
  3. Step 3: Cross multiply
    208.96x = 288.29 × 126
  4. Step 4: Simplify right side
    208.96x = 36,323.91
  5. Step 5: Solve for x
    x = 36,323.91/208.96
  6. Step 6: Final answer
    x = 173.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.