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Finding the Fourth Proportional to 256.90, 385 and 134.92

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Solution

The fourth proportional to 256.90, 385 and 134.92 is: 202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.90 : 385 = 134.92 : x
  2. Step 2: Convert to fraction form
    256.90/385 = 134.92/x
  3. Step 3: Cross multiply
    256.90x = 385 × 134.92
  4. Step 4: Simplify right side
    256.90x = 51,944.20
  5. Step 5: Solve for x
    x = 51,944.20/256.90
  6. Step 6: Final answer
    x = 202.20

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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.