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Finding the Fourth Proportional to 173.90, 259.84 and 160.94

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Solution

The fourth proportional to 173.90, 259.84 and 160.94 is: 240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.90 : 259.84 = 160.94 : x
  2. Step 2: Convert to fraction form
    173.90/259.84 = 160.94/x
  3. Step 3: Cross multiply
    173.90x = 259.84 × 160.94
  4. Step 4: Simplify right side
    173.90x = 41,818.65
  5. Step 5: Solve for x
    x = 41,818.65/173.90
  6. Step 6: Final answer
    x = 240.48

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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.