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Finding the Fourth Proportional to 255.36, 351.72 and 240.24

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Solution

The fourth proportional to 255.36, 351.72 and 240.24 is: 330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 351.72 = 240.24 : x
  2. Step 2: Convert to fraction form
    255.36/351.72 = 240.24/x
  3. Step 3: Cross multiply
    255.36x = 351.72 × 240.24
  4. Step 4: Simplify right side
    255.36x = 84,497.21
  5. Step 5: Solve for x
    x = 84,497.21/255.36
  6. Step 6: Final answer
    x = 330.89

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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.