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Finding the Fourth Proportional to 164.56, 246.15 and 142

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Solution

The fourth proportional to 164.56, 246.15 and 142 is: 212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 246.15 = 142 : x
  2. Step 2: Convert to fraction form
    164.56/246.15 = 142/x
  3. Step 3: Cross multiply
    164.56x = 246.15 × 142
  4. Step 4: Simplify right side
    164.56x = 34,953.30
  5. Step 5: Solve for x
    x = 34,953.30/164.56
  6. Step 6: Final answer
    x = 212.40

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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.