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Finding the Fourth Proportional to 168.40, 231.76 and 152.88

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Solution

The fourth proportional to 168.40, 231.76 and 152.88 is: 210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.40 : 231.76 = 152.88 : x
  2. Step 2: Convert to fraction form
    168.40/231.76 = 152.88/x
  3. Step 3: Cross multiply
    168.40x = 231.76 × 152.88
  4. Step 4: Simplify right side
    168.40x = 35,429.55
  5. Step 5: Solve for x
    x = 35,429.55/168.40
  6. Step 6: Final answer
    x = 210.39

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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.