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Finding the Fourth Proportional to 173.01, 259.24 and 147.22

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Solution

The fourth proportional to 173.01, 259.24 and 147.22 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.01 : 259.24 = 147.22 : x
  2. Step 2: Convert to fraction form
    173.01/259.24 = 147.22/x
  3. Step 3: Cross multiply
    173.01x = 259.24 × 147.22
  4. Step 4: Simplify right side
    173.01x = 38,165.27
  5. Step 5: Solve for x
    x = 38,165.27/173.01
  6. Step 6: Final answer
    x = 220.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.