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Finding the Fourth Proportional to 256.52, 384.52 and 134.64

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Solution

The fourth proportional to 256.52, 384.52 and 134.64 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.52 : 384.52 = 134.64 : x
  2. Step 2: Convert to fraction form
    256.52/384.52 = 134.64/x
  3. Step 3: Cross multiply
    256.52x = 384.52 × 134.64
  4. Step 4: Simplify right side
    256.52x = 51,771.77
  5. Step 5: Solve for x
    x = 51,771.77/256.52
  6. Step 6: Final answer
    x = 201.82

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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.