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Finding the Fourth Proportional to 208.90, 288.21 and 130.21

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Solution

The fourth proportional to 208.90, 288.21 and 130.21 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.90 : 288.21 = 130.21 : x
  2. Step 2: Convert to fraction form
    208.90/288.21 = 130.21/x
  3. Step 3: Cross multiply
    208.90x = 288.21 × 130.21
  4. Step 4: Simplify right side
    208.90x = 37,526.86
  5. Step 5: Solve for x
    x = 37,526.86/208.90
  6. Step 6: Final answer
    x = 179.64

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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.