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Finding the Fourth Proportional to 144.23, 216.32 and 135.77

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Solution

The fourth proportional to 144.23, 216.32 and 135.77 is: 203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 216.32 = 135.77 : x
  2. Step 2: Convert to fraction form
    144.23/216.32 = 135.77/x
  3. Step 3: Cross multiply
    144.23x = 216.32 × 135.77
  4. Step 4: Simplify right side
    144.23x = 29,369.02
  5. Step 5: Solve for x
    x = 29,369.02/144.23
  6. Step 6: Final answer
    x = 203.63

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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.