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Finding the Fourth Proportional to 144.86, 216.02 and 133.64

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Solution

The fourth proportional to 144.86, 216.02 and 133.64 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.86 : 216.02 = 133.64 : x
  2. Step 2: Convert to fraction form
    144.86/216.02 = 133.64/x
  3. Step 3: Cross multiply
    144.86x = 216.02 × 133.64
  4. Step 4: Simplify right side
    144.86x = 28,867.16
  5. Step 5: Solve for x
    x = 28,867.16/144.86
  6. Step 6: Final answer
    x = 199.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.