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Finding the Fourth Proportional to 173.64, 261.36 and 144.96

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Solution

The fourth proportional to 173.64, 261.36 and 144.96 is: 218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.64 : 261.36 = 144.96 : x
  2. Step 2: Convert to fraction form
    173.64/261.36 = 144.96/x
  3. Step 3: Cross multiply
    173.64x = 261.36 × 144.96
  4. Step 4: Simplify right side
    173.64x = 37,886.75
  5. Step 5: Solve for x
    x = 37,886.75/173.64
  6. Step 6: Final answer
    x = 218.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.