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Finding the Fourth Proportional to 256.94, 385.76 and 135.30

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Solution

The fourth proportional to 256.94, 385.76 and 135.30 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.94 : 385.76 = 135.30 : x
  2. Step 2: Convert to fraction form
    256.94/385.76 = 135.30/x
  3. Step 3: Cross multiply
    256.94x = 385.76 × 135.30
  4. Step 4: Simplify right side
    256.94x = 52,193.33
  5. Step 5: Solve for x
    x = 52,193.33/256.94
  6. Step 6: Final answer
    x = 203.13

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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.