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Finding the Fourth Proportional to 256.66, 354.19 and 140.22

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Solution

The fourth proportional to 256.66, 354.19 and 140.22 is: 193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.66 : 354.19 = 140.22 : x
  2. Step 2: Convert to fraction form
    256.66/354.19 = 140.22/x
  3. Step 3: Cross multiply
    256.66x = 354.19 × 140.22
  4. Step 4: Simplify right side
    256.66x = 49,663.82
  5. Step 5: Solve for x
    x = 49,663.82/256.66
  6. Step 6: Final answer
    x = 193.50

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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.