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Finding the Fourth Proportional to 272.66, 376.25 and 148.31

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Solution

The fourth proportional to 272.66, 376.25 and 148.31 is: 204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.66 : 376.25 = 148.31 : x
  2. Step 2: Convert to fraction form
    272.66/376.25 = 148.31/x
  3. Step 3: Cross multiply
    272.66x = 376.25 × 148.31
  4. Step 4: Simplify right side
    272.66x = 55,799.01
  5. Step 5: Solve for x
    x = 55,799.01/272.66
  6. Step 6: Final answer
    x = 204.65

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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.