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Finding the Fourth Proportional to 242.78, 335.08 and 164.10

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Solution

The fourth proportional to 242.78, 335.08 and 164.10 is: 226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.78 : 335.08 = 164.10 : x
  2. Step 2: Convert to fraction form
    242.78/335.08 = 164.10/x
  3. Step 3: Cross multiply
    242.78x = 335.08 × 164.10
  4. Step 4: Simplify right side
    242.78x = 54,986.63
  5. Step 5: Solve for x
    x = 54,986.63/242.78
  6. Step 6: Final answer
    x = 226.49

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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.