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Finding the Fourth Proportional to 165.10, 248.68 and 150.34

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Solution

The fourth proportional to 165.10, 248.68 and 150.34 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 248.68 = 150.34 : x
  2. Step 2: Convert to fraction form
    165.10/248.68 = 150.34/x
  3. Step 3: Cross multiply
    165.10x = 248.68 × 150.34
  4. Step 4: Simplify right side
    165.10x = 37,386.55
  5. Step 5: Solve for x
    x = 37,386.55/165.10
  6. Step 6: Final answer
    x = 226.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.