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Finding the Fourth Proportional to 256.86, 354.47 and 178.19

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Solution

The fourth proportional to 256.86, 354.47 and 178.19 is: 245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 354.47 = 178.19 : x
  2. Step 2: Convert to fraction form
    256.86/354.47 = 178.19/x
  3. Step 3: Cross multiply
    256.86x = 354.47 × 178.19
  4. Step 4: Simplify right side
    256.86x = 63,163.01
  5. Step 5: Solve for x
    x = 63,163.01/256.86
  6. Step 6: Final answer
    x = 245.90

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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.