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Finding the Fourth Proportional to 256.77, 354.71 and 204.66

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Solution

The fourth proportional to 256.77, 354.71 and 204.66 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.77 : 354.71 = 204.66 : x
  2. Step 2: Convert to fraction form
    256.77/354.71 = 204.66/x
  3. Step 3: Cross multiply
    256.77x = 354.71 × 204.66
  4. Step 4: Simplify right side
    256.77x = 72,594.95
  5. Step 5: Solve for x
    x = 72,594.95/256.77
  6. Step 6: Final answer
    x = 282.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.