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Finding the Fourth Proportional to 256.57, 386.27 and 175.94

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Solution

The fourth proportional to 256.57, 386.27 and 175.94 is: 264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 386.27 = 175.94 : x
  2. Step 2: Convert to fraction form
    256.57/386.27 = 175.94/x
  3. Step 3: Cross multiply
    256.57x = 386.27 × 175.94
  4. Step 4: Simplify right side
    256.57x = 67,959.64
  5. Step 5: Solve for x
    x = 67,959.64/256.57
  6. Step 6: Final answer
    x = 264.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.