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Finding the Fourth Proportional to 256.54, 354.16 and 172.64

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Solution

The fourth proportional to 256.54, 354.16 and 172.64 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.54 : 354.16 = 172.64 : x
  2. Step 2: Convert to fraction form
    256.54/354.16 = 172.64/x
  3. Step 3: Cross multiply
    256.54x = 354.16 × 172.64
  4. Step 4: Simplify right side
    256.54x = 61,140.41
  5. Step 5: Solve for x
    x = 61,140.41/256.54
  6. Step 6: Final answer
    x = 238.33

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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.