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Finding the Fourth Proportional to 272.64, 376.24 and 148.30

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Solution

The fourth proportional to 272.64, 376.24 and 148.30 is: 204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 376.24 = 148.30 : x
  2. Step 2: Convert to fraction form
    272.64/376.24 = 148.30/x
  3. Step 3: Cross multiply
    272.64x = 376.24 × 148.30
  4. Step 4: Simplify right side
    272.64x = 55,795.08
  5. Step 5: Solve for x
    x = 55,795.08/272.64
  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.