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Finding the Fourth Proportional to 256.88, 354.54 and 202.04

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Solution

The fourth proportional to 256.88, 354.54 and 202.04 is: 278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 354.54 = 202.04 : x
  2. Step 2: Convert to fraction form
    256.88/354.54 = 202.04/x
  3. Step 3: Cross multiply
    256.88x = 354.54 × 202.04
  4. Step 4: Simplify right side
    256.88x = 71,628.98
  5. Step 5: Solve for x
    x = 71,628.98/256.88
  6. Step 6: Final answer
    x = 278.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.