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Finding the Fourth Proportional to 236.51, 353.98 and 144.77

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Solution

The fourth proportional to 236.51, 353.98 and 144.77 is: 216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.51 : 353.98 = 144.77 : x
  2. Step 2: Convert to fraction form
    236.51/353.98 = 144.77/x
  3. Step 3: Cross multiply
    236.51x = 353.98 × 144.77
  4. Step 4: Simplify right side
    236.51x = 51,244.96
  5. Step 5: Solve for x
    x = 51,244.96/236.51
  6. Step 6: Final answer
    x = 216.68

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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.