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Finding the Fourth Proportional to 164.72, 247.28 and 140.82

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Solution

The fourth proportional to 164.72, 247.28 and 140.82 is: 211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.72 : 247.28 = 140.82 : x
  2. Step 2: Convert to fraction form
    164.72/247.28 = 140.82/x
  3. Step 3: Cross multiply
    164.72x = 247.28 × 140.82
  4. Step 4: Simplify right side
    164.72x = 34,821.27
  5. Step 5: Solve for x
    x = 34,821.27/164.72
  6. Step 6: Final answer
    x = 211.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.