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Finding the Fourth Proportional to 183.66, 275.10 and 175.29

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Solution

The fourth proportional to 183.66, 275.10 and 175.29 is: 262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 275.10 = 175.29 : x
  2. Step 2: Convert to fraction form
    183.66/275.10 = 175.29/x
  3. Step 3: Cross multiply
    183.66x = 275.10 × 175.29
  4. Step 4: Simplify right side
    183.66x = 48,222.28
  5. Step 5: Solve for x
    x = 48,222.28/183.66
  6. Step 6: Final answer
    x = 262.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.