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Finding the Fourth Proportional to 164.97, 247.28 and 78.35

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Solution

The fourth proportional to 164.97, 247.28 and 78.35 is: 117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 247.28 = 78.35 : x
  2. Step 2: Convert to fraction form
    164.97/247.28 = 78.35/x
  3. Step 3: Cross multiply
    164.97x = 247.28 × 78.35
  4. Step 4: Simplify right side
    164.97x = 19,374.39
  5. Step 5: Solve for x
    x = 19,374.39/164.97
  6. Step 6: Final answer
    x = 117.44

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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.