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Finding the Fourth Proportional to 256.57, 384.40 and 134.46

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Solution

The fourth proportional to 256.57, 384.40 and 134.46 is: 201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 384.40 = 134.46 : x
  2. Step 2: Convert to fraction form
    256.57/384.40 = 134.46/x
  3. Step 3: Cross multiply
    256.57x = 384.40 × 134.46
  4. Step 4: Simplify right side
    256.57x = 51,685.84
  5. Step 5: Solve for x
    x = 51,685.84/256.57
  6. Step 6: Final answer
    x = 201.45

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