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Finding the Fourth Proportional to 164.82, 246.98 and 141.58

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Solution

The fourth proportional to 164.82, 246.98 and 141.58 is: 212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 246.98 = 141.58 : x
  2. Step 2: Convert to fraction form
    164.82/246.98 = 141.58/x
  3. Step 3: Cross multiply
    164.82x = 246.98 × 141.58
  4. Step 4: Simplify right side
    164.82x = 34,967.43
  5. Step 5: Solve for x
    x = 34,967.43/164.82
  6. Step 6: Final answer
    x = 212.16

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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.