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Finding the Fourth Proportional to 256.79, 384.83 and 134.81

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Solution

The fourth proportional to 256.79, 384.83 and 134.81 is: 202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.79 : 384.83 = 134.81 : x
  2. Step 2: Convert to fraction form
    256.79/384.83 = 134.81/x
  3. Step 3: Cross multiply
    256.79x = 384.83 × 134.81
  4. Step 4: Simplify right side
    256.79x = 51,878.28
  5. Step 5: Solve for x
    x = 51,878.28/256.79
  6. Step 6: Final answer
    x = 202.02

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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.