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Finding the Fourth Proportional to 165.42, 247.75 and 124.33

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Solution

The fourth proportional to 165.42, 247.75 and 124.33 is: 186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 247.75 = 124.33 : x
  2. Step 2: Convert to fraction form
    165.42/247.75 = 124.33/x
  3. Step 3: Cross multiply
    165.42x = 247.75 × 124.33
  4. Step 4: Simplify right side
    165.42x = 30,802.76
  5. Step 5: Solve for x
    x = 30,802.76/165.42
  6. Step 6: Final answer
    x = 186.21

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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.