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Finding the Fourth Proportional to 242.10, 334.13 and 164.50

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Solution

The fourth proportional to 242.10, 334.13 and 164.50 is: 227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.10 : 334.13 = 164.50 : x
  2. Step 2: Convert to fraction form
    242.10/334.13 = 164.50/x
  3. Step 3: Cross multiply
    242.10x = 334.13 × 164.50
  4. Step 4: Simplify right side
    242.10x = 54,964.39
  5. Step 5: Solve for x
    x = 54,964.39/242.10
  6. Step 6: Final answer
    x = 227.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.