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Finding the Fourth Proportional to 256.59, 353.94 and 177.98

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Solution

The fourth proportional to 256.59, 353.94 and 177.98 is: 245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 353.94 = 177.98 : x
  2. Step 2: Convert to fraction form
    256.59/353.94 = 177.98/x
  3. Step 3: Cross multiply
    256.59x = 353.94 × 177.98
  4. Step 4: Simplify right side
    256.59x = 62,992.47
  5. Step 5: Solve for x
    x = 62,992.47/256.59
  6. Step 6: Final answer
    x = 245.50

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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.