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Finding the Fourth Proportional to 165.34, 246.05 and 160.48

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Solution

The fourth proportional to 165.34, 246.05 and 160.48 is: 238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.34 : 246.05 = 160.48 : x
  2. Step 2: Convert to fraction form
    165.34/246.05 = 160.48/x
  3. Step 3: Cross multiply
    165.34x = 246.05 × 160.48
  4. Step 4: Simplify right side
    165.34x = 39,484.87
  5. Step 5: Solve for x
    x = 39,484.87/165.34
  6. Step 6: Final answer
    x = 238.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.