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Finding the Fourth Proportional to 242.70, 334.78 and 164.00

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Solution

The fourth proportional to 242.70, 334.78 and 164.00 is: 226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 334.78 = 164.00 : x
  2. Step 2: Convert to fraction form
    242.70/334.78 = 164.00/x
  3. Step 3: Cross multiply
    242.70x = 334.78 × 164.00
  4. Step 4: Simplify right side
    242.70x = 54,904.33
  5. Step 5: Solve for x
    x = 54,904.33/242.70
  6. Step 6: Final answer
    x = 226.23

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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.