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Finding the Fourth Proportional to 165.40, 248.34 and 133.24

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Solution

The fourth proportional to 165.40, 248.34 and 133.24 is: 200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 248.34 = 133.24 : x
  2. Step 2: Convert to fraction form
    165.40/248.34 = 133.24/x
  3. Step 3: Cross multiply
    165.40x = 248.34 × 133.24
  4. Step 4: Simplify right side
    165.40x = 33,088.82
  5. Step 5: Solve for x
    x = 33,088.82/165.40
  6. Step 6: Final answer
    x = 200.05

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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.