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Finding the Fourth Proportional to 203.24, 279.63 and 175.52

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Solution

The fourth proportional to 203.24, 279.63 and 175.52 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.24 : 279.63 = 175.52 : x
  2. Step 2: Convert to fraction form
    203.24/279.63 = 175.52/x
  3. Step 3: Cross multiply
    203.24x = 279.63 × 175.52
  4. Step 4: Simplify right side
    203.24x = 49,079.26
  5. Step 5: Solve for x
    x = 49,079.26/203.24
  6. Step 6: Final answer
    x = 241.49

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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.