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Finding the Fourth Proportional to 255.64, 382.56 and 201.16

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Solution

The fourth proportional to 255.64, 382.56 and 201.16 is: 301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.64 : 382.56 = 201.16 : x
  2. Step 2: Convert to fraction form
    255.64/382.56 = 201.16/x
  3. Step 3: Cross multiply
    255.64x = 382.56 × 201.16
  4. Step 4: Simplify right side
    255.64x = 76,955.77
  5. Step 5: Solve for x
    x = 76,955.77/255.64
  6. Step 6: Final answer
    x = 301.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.