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Finding the Fourth Proportional to 185.10, 275.66 and 173.41

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Solution

The fourth proportional to 185.10, 275.66 and 173.41 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.10 : 275.66 = 173.41 : x
  2. Step 2: Convert to fraction form
    185.10/275.66 = 173.41/x
  3. Step 3: Cross multiply
    185.10x = 275.66 × 173.41
  4. Step 4: Simplify right side
    185.10x = 47,802.20
  5. Step 5: Solve for x
    x = 47,802.20/185.10
  6. Step 6: Final answer
    x = 258.25

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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.