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Finding the Fourth Proportional to 256.55, 353.66 and 186.48

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Solution

The fourth proportional to 256.55, 353.66 and 186.48 is: 257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.55 : 353.66 = 186.48 : x
  2. Step 2: Convert to fraction form
    256.55/353.66 = 186.48/x
  3. Step 3: Cross multiply
    256.55x = 353.66 × 186.48
  4. Step 4: Simplify right side
    256.55x = 65,949.58
  5. Step 5: Solve for x
    x = 65,949.58/256.55
  6. Step 6: Final answer
    x = 257.07

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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.