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Finding the Fourth Proportional to 256.84, 354.61 and 178.13

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Solution

The fourth proportional to 256.84, 354.61 and 178.13 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 354.61 = 178.13 : x
  2. Step 2: Convert to fraction form
    256.84/354.61 = 178.13/x
  3. Step 3: Cross multiply
    256.84x = 354.61 × 178.13
  4. Step 4: Simplify right side
    256.84x = 63,166.54
  5. Step 5: Solve for x
    x = 63,166.54/256.84
  6. Step 6: Final answer
    x = 245.93

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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.