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Finding the Fourth Proportional to 173.19, 238.97 and 99.50

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Solution

The fourth proportional to 173.19, 238.97 and 99.50 is: 137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 238.97 = 99.50 : x
  2. Step 2: Convert to fraction form
    173.19/238.97 = 99.50/x
  3. Step 3: Cross multiply
    173.19x = 238.97 × 99.50
  4. Step 4: Simplify right side
    173.19x = 23,775.82
  5. Step 5: Solve for x
    x = 23,775.82/173.19
  6. Step 6: Final answer
    x = 137.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.