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Finding the Fourth Proportional to 168.99, 253.63 and 135.14

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Solution

The fourth proportional to 168.99, 253.63 and 135.14 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.99 : 253.63 = 135.14 : x
  2. Step 2: Convert to fraction form
    168.99/253.63 = 135.14/x
  3. Step 3: Cross multiply
    168.99x = 253.63 × 135.14
  4. Step 4: Simplify right side
    168.99x = 34,274.46
  5. Step 5: Solve for x
    x = 34,274.46/168.99
  6. Step 6: Final answer
    x = 202.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.