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Finding the Fourth Proportional to 165.84, 248.52 and 145.68

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Solution

The fourth proportional to 165.84, 248.52 and 145.68 is: 218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 248.52 = 145.68 : x
  2. Step 2: Convert to fraction form
    165.84/248.52 = 145.68/x
  3. Step 3: Cross multiply
    165.84x = 248.52 × 145.68
  4. Step 4: Simplify right side
    165.84x = 36,204.39
  5. Step 5: Solve for x
    x = 36,204.39/165.84
  6. Step 6: Final answer
    x = 218.31

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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.