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Finding the Fourth Proportional to 255.24, 352.40 and 157.05

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Solution

The fourth proportional to 255.24, 352.40 and 157.05 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 352.40 = 157.05 : x
  2. Step 2: Convert to fraction form
    255.24/352.40 = 157.05/x
  3. Step 3: Cross multiply
    255.24x = 352.40 × 157.05
  4. Step 4: Simplify right side
    255.24x = 55,343.63
  5. Step 5: Solve for x
    x = 55,343.63/255.24
  6. Step 6: Final answer
    x = 216.83

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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.