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Finding the Fourth Proportional to 242.25, 334.58 and 164.49

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Solution

The fourth proportional to 242.25, 334.58 and 164.49 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 334.58 = 164.49 : x
  2. Step 2: Convert to fraction form
    242.25/334.58 = 164.49/x
  3. Step 3: Cross multiply
    242.25x = 334.58 × 164.49
  4. Step 4: Simplify right side
    242.25x = 55,035.06
  5. Step 5: Solve for x
    x = 55,035.06/242.25
  6. Step 6: Final answer
    x = 227.18

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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.