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Finding the Fourth Proportional to 256.56, 354.08 and 186.60

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Solution

The fourth proportional to 256.56, 354.08 and 186.60 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 354.08 = 186.60 : x
  2. Step 2: Convert to fraction form
    256.56/354.08 = 186.60/x
  3. Step 3: Cross multiply
    256.56x = 354.08 × 186.60
  4. Step 4: Simplify right side
    256.56x = 66,071.33
  5. Step 5: Solve for x
    x = 66,071.33/256.56
  6. Step 6: Final answer
    x = 257.53

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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.