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Finding the Fourth Proportional to 165.69, 248.55 and 50.16

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Solution

The fourth proportional to 165.69, 248.55 and 50.16 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 248.55 = 50.16 : x
  2. Step 2: Convert to fraction form
    165.69/248.55 = 50.16/x
  3. Step 3: Cross multiply
    165.69x = 248.55 × 50.16
  4. Step 4: Simplify right side
    165.69x = 12,467.27
  5. Step 5: Solve for x
    x = 12,467.27/165.69
  6. Step 6: Final answer
    x = 75.24

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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.