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Finding the Fourth Proportional to 170.49, 235.15 and 164.84

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Solution

The fourth proportional to 170.49, 235.15 and 164.84 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.49 : 235.15 = 164.84 : x
  2. Step 2: Convert to fraction form
    170.49/235.15 = 164.84/x
  3. Step 3: Cross multiply
    170.49x = 235.15 × 164.84
  4. Step 4: Simplify right side
    170.49x = 38,762.13
  5. Step 5: Solve for x
    x = 38,762.13/170.49
  6. Step 6: Final answer
    x = 227.36

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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.