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Finding the Fourth Proportional to 208.94, 288.21 and 146.68

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Solution

The fourth proportional to 208.94, 288.21 and 146.68 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 288.21 = 146.68 : x
  2. Step 2: Convert to fraction form
    208.94/288.21 = 146.68/x
  3. Step 3: Cross multiply
    208.94x = 288.21 × 146.68
  4. Step 4: Simplify right side
    208.94x = 42,274.64
  5. Step 5: Solve for x
    x = 42,274.64/208.94
  6. Step 6: Final answer
    x = 202.33

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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.