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Finding the Fourth Proportional to 184.92, 275.46 and 173.72

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Solution

The fourth proportional to 184.92, 275.46 and 173.72 is: 258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 275.46 = 173.72 : x
  2. Step 2: Convert to fraction form
    184.92/275.46 = 173.72/x
  3. Step 3: Cross multiply
    184.92x = 275.46 × 173.72
  4. Step 4: Simplify right side
    184.92x = 47,851.53
  5. Step 5: Solve for x
    x = 47,851.53/184.92
  6. Step 6: Final answer
    x = 258.77

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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.