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Finding the Fourth Proportional to 173.02, 258.99 and 146.02

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Solution

The fourth proportional to 173.02, 258.99 and 146.02 is: 218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.02 : 258.99 = 146.02 : x
  2. Step 2: Convert to fraction form
    173.02/258.99 = 146.02/x
  3. Step 3: Cross multiply
    173.02x = 258.99 × 146.02
  4. Step 4: Simplify right side
    173.02x = 37,817.72
  5. Step 5: Solve for x
    x = 37,817.72/173.02
  6. Step 6: Final answer
    x = 218.57

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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.