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Finding the Fourth Proportional to 184.64, 256.16 and 177.12

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Solution

The fourth proportional to 184.64, 256.16 and 177.12 is: 245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 256.16 = 177.12 : x
  2. Step 2: Convert to fraction form
    184.64/256.16 = 177.12/x
  3. Step 3: Cross multiply
    184.64x = 256.16 × 177.12
  4. Step 4: Simplify right side
    184.64x = 45,371.06
  5. Step 5: Solve for x
    x = 45,371.06/184.64
  6. Step 6: Final answer
    x = 245.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.