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Finding the Fourth Proportional to 164.84, 227.50 and 99.38

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Solution

The fourth proportional to 164.84, 227.50 and 99.38 is: 137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.84 : 227.50 = 99.38 : x
  2. Step 2: Convert to fraction form
    164.84/227.50 = 99.38/x
  3. Step 3: Cross multiply
    164.84x = 227.50 × 99.38
  4. Step 4: Simplify right side
    164.84x = 22,608.95
  5. Step 5: Solve for x
    x = 22,608.95/164.84
  6. Step 6: Final answer
    x = 137.16

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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.