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Finding the Fourth Proportional to 165.53, 248.25 and 124.32

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Solution

The fourth proportional to 165.53, 248.25 and 124.32 is: 186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.53 : 248.25 = 124.32 : x
  2. Step 2: Convert to fraction form
    165.53/248.25 = 124.32/x
  3. Step 3: Cross multiply
    165.53x = 248.25 × 124.32
  4. Step 4: Simplify right side
    165.53x = 30,862.44
  5. Step 5: Solve for x
    x = 30,862.44/165.53
  6. Step 6: Final answer
    x = 186.45

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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.