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Finding the Fourth Proportional to 184.92, 275.88 and 175.80

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Solution

The fourth proportional to 184.92, 275.88 and 175.80 is: 262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 275.88 = 175.80 : x
  2. Step 2: Convert to fraction form
    184.92/275.88 = 175.80/x
  3. Step 3: Cross multiply
    184.92x = 275.88 × 175.80
  4. Step 4: Simplify right side
    184.92x = 48,499.70
  5. Step 5: Solve for x
    x = 48,499.70/184.92
  6. Step 6: Final answer
    x = 262.27

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