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Finding the Fourth Proportional to 256.42, 353.86 and 139.98

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Solution

The fourth proportional to 256.42, 353.86 and 139.98 is: 193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 353.86 = 139.98 : x
  2. Step 2: Convert to fraction form
    256.42/353.86 = 139.98/x
  3. Step 3: Cross multiply
    256.42x = 353.86 × 139.98
  4. Step 4: Simplify right side
    256.42x = 49,533.32
  5. Step 5: Solve for x
    x = 49,533.32/256.42
  6. Step 6: Final answer
    x = 193.18

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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.