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Finding the Fourth Proportional to 164.82, 247.16 and 78.13

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Solution

The fourth proportional to 164.82, 247.16 and 78.13 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 247.16 = 78.13 : x
  2. Step 2: Convert to fraction form
    164.82/247.16 = 78.13/x
  3. Step 3: Cross multiply
    164.82x = 247.16 × 78.13
  4. Step 4: Simplify right side
    164.82x = 19,310.68
  5. Step 5: Solve for x
    x = 19,310.68/164.82
  6. Step 6: Final answer
    x = 117.16

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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.