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Finding the Fourth Proportional to 173.18, 258.40 and 142.94

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Solution

The fourth proportional to 173.18, 258.40 and 142.94 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.18 : 258.40 = 142.94 : x
  2. Step 2: Convert to fraction form
    173.18/258.40 = 142.94/x
  3. Step 3: Cross multiply
    173.18x = 258.40 × 142.94
  4. Step 4: Simplify right side
    173.18x = 36,935.70
  5. Step 5: Solve for x
    x = 36,935.70/173.18
  6. Step 6: Final answer
    x = 213.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.