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Finding the Fourth Proportional to 164.40, 227.04 and 155.76

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Solution

The fourth proportional to 164.40, 227.04 and 155.76 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 227.04 = 155.76 : x
  2. Step 2: Convert to fraction form
    164.40/227.04 = 155.76/x
  3. Step 3: Cross multiply
    164.40x = 227.04 × 155.76
  4. Step 4: Simplify right side
    164.40x = 35,363.75
  5. Step 5: Solve for x
    x = 35,363.75/164.40
  6. Step 6: Final answer
    x = 215.11

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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.