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Finding the Fourth Proportional to 256.19, 353.55 and 139.76

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Solution

The fourth proportional to 256.19, 353.55 and 139.76 is: 192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 353.55 = 139.76 : x
  2. Step 2: Convert to fraction form
    256.19/353.55 = 139.76/x
  3. Step 3: Cross multiply
    256.19x = 353.55 × 139.76
  4. Step 4: Simplify right side
    256.19x = 49,410.38
  5. Step 5: Solve for x
    x = 49,410.38/256.19
  6. Step 6: Final answer
    x = 192.86

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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.