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Finding the Fourth Proportional to 164.88, 247.08 and 153.96

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Solution

The fourth proportional to 164.88, 247.08 and 153.96 is: 230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.88 : 247.08 = 153.96 : x
  2. Step 2: Convert to fraction form
    164.88/247.08 = 153.96/x
  3. Step 3: Cross multiply
    164.88x = 247.08 × 153.96
  4. Step 4: Simplify right side
    164.88x = 38,040.44
  5. Step 5: Solve for x
    x = 38,040.44/164.88
  6. Step 6: Final answer
    x = 230.72

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Why These Related Problems?

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