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Finding the Fourth Proportional to 165.86, 248.77 and 57.64

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Solution

The fourth proportional to 165.86, 248.77 and 57.64 is: 86.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.86 : 248.77 = 57.64 : x
  2. Step 2: Convert to fraction form
    165.86/248.77 = 57.64/x
  3. Step 3: Cross multiply
    165.86x = 248.77 × 57.64
  4. Step 4: Simplify right side
    165.86x = 14,339.10
  5. Step 5: Solve for x
    x = 14,339.10/165.86
  6. Step 6: Final answer
    x = 86.45

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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.