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Finding the Fourth Proportional to 256.91, 354.71 and 191.57

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Solution

The fourth proportional to 256.91, 354.71 and 191.57 is: 264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 354.71 = 191.57 : x
  2. Step 2: Convert to fraction form
    256.91/354.71 = 191.57/x
  3. Step 3: Cross multiply
    256.91x = 354.71 × 191.57
  4. Step 4: Simplify right side
    256.91x = 67,950.50
  5. Step 5: Solve for x
    x = 67,950.50/256.91
  6. Step 6: Final answer
    x = 264.50

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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.