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Finding the Fourth Proportional to 165.78, 248.70 and 57.57

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Solution

The fourth proportional to 165.78, 248.70 and 57.57 is: 86.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.70 = 57.57 : x
  2. Step 2: Convert to fraction form
    165.78/248.70 = 57.57/x
  3. Step 3: Cross multiply
    165.78x = 248.70 × 57.57
  4. Step 4: Simplify right side
    165.78x = 14,317.66
  5. Step 5: Solve for x
    x = 14,317.66/165.78
  6. Step 6: Final answer
    x = 86.37

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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.