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Finding the Fourth Proportional to 256.48, 353.99 and 177.77

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Solution

The fourth proportional to 256.48, 353.99 and 177.77 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.48 : 353.99 = 177.77 : x
  2. Step 2: Convert to fraction form
    256.48/353.99 = 177.77/x
  3. Step 3: Cross multiply
    256.48x = 353.99 × 177.77
  4. Step 4: Simplify right side
    256.48x = 62,928.80
  5. Step 5: Solve for x
    x = 62,928.80/256.48
  6. Step 6: Final answer
    x = 245.36

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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.