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Finding the Fourth Proportional to 173.30, 259.88 and 96.24

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Solution

The fourth proportional to 173.30, 259.88 and 96.24 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.30 : 259.88 = 96.24 : x
  2. Step 2: Convert to fraction form
    173.30/259.88 = 96.24/x
  3. Step 3: Cross multiply
    173.30x = 259.88 × 96.24
  4. Step 4: Simplify right side
    173.30x = 25,010.37
  5. Step 5: Solve for x
    x = 25,010.37/173.30
  6. Step 6: Final answer
    x = 144.32

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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.