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Finding the Fourth Proportional to 255.57, 352.64 and 242.60

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Solution

The fourth proportional to 255.57, 352.64 and 242.60 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.57 : 352.64 = 242.60 : x
  2. Step 2: Convert to fraction form
    255.57/352.64 = 242.60/x
  3. Step 3: Cross multiply
    255.57x = 352.64 × 242.60
  4. Step 4: Simplify right side
    255.57x = 85,548.97
  5. Step 5: Solve for x
    x = 85,548.97/255.57
  6. Step 6: Final answer
    x = 334.74

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Why These Related Problems?

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