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Finding the Fourth Proportional to 242.11, 334.19 and 164.53

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Solution

The fourth proportional to 242.11, 334.19 and 164.53 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.11 : 334.19 = 164.53 : x
  2. Step 2: Convert to fraction form
    242.11/334.19 = 164.53/x
  3. Step 3: Cross multiply
    242.11x = 334.19 × 164.53
  4. Step 4: Simplify right side
    242.11x = 54,983.46
  5. Step 5: Solve for x
    x = 54,983.46/242.11
  6. Step 6: Final answer
    x = 227.10

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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.