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Finding the Fourth Proportional to 168.54, 253.01 and 144.64

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Solution

The fourth proportional to 168.54, 253.01 and 144.64 is: 217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.54 : 253.01 = 144.64 : x
  2. Step 2: Convert to fraction form
    168.54/253.01 = 144.64/x
  3. Step 3: Cross multiply
    168.54x = 253.01 × 144.64
  4. Step 4: Simplify right side
    168.54x = 36,595.37
  5. Step 5: Solve for x
    x = 36,595.37/168.54
  6. Step 6: Final answer
    x = 217.13

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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.