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Finding the Fourth Proportional to 165.16, 227.74 and 156.48

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Solution

The fourth proportional to 165.16, 227.74 and 156.48 is: 215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 227.74 = 156.48 : x
  2. Step 2: Convert to fraction form
    165.16/227.74 = 156.48/x
  3. Step 3: Cross multiply
    165.16x = 227.74 × 156.48
  4. Step 4: Simplify right side
    165.16x = 35,636.76
  5. Step 5: Solve for x
    x = 35,636.76/165.16
  6. Step 6: Final answer
    x = 215.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.