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Finding the Fourth Proportional to 183.58, 253.26 and 171.06

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Solution

The fourth proportional to 183.58, 253.26 and 171.06 is: 235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.58 : 253.26 = 171.06 : x
  2. Step 2: Convert to fraction form
    183.58/253.26 = 171.06/x
  3. Step 3: Cross multiply
    183.58x = 253.26 × 171.06
  4. Step 4: Simplify right side
    183.58x = 43,322.66
  5. Step 5: Solve for x
    x = 43,322.66/183.58
  6. Step 6: Final answer
    x = 235.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.