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Finding the Fourth Proportional to 165.34, 247.71 and 83.98

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Solution

The fourth proportional to 165.34, 247.71 and 83.98 is: 125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.34 : 247.71 = 83.98 : x
  2. Step 2: Convert to fraction form
    165.34/247.71 = 83.98/x
  3. Step 3: Cross multiply
    165.34x = 247.71 × 83.98
  4. Step 4: Simplify right side
    165.34x = 20,802.69
  5. Step 5: Solve for x
    x = 20,802.69/165.34
  6. Step 6: Final answer
    x = 125.82

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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.