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Finding the Fourth Proportional to 165.21, 247.82 and 57

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Solution

The fourth proportional to 165.21, 247.82 and 57 is: 85.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.21 : 247.82 = 57 : x
  2. Step 2: Convert to fraction form
    165.21/247.82 = 57/x
  3. Step 3: Cross multiply
    165.21x = 247.82 × 57
  4. Step 4: Simplify right side
    165.21x = 14,125.46
  5. Step 5: Solve for x
    x = 14,125.46/165.21
  6. Step 6: Final answer
    x = 85.50

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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.