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Finding the Fourth Proportional to 242.49, 362.81 and 219.71

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Solution

The fourth proportional to 242.49, 362.81 and 219.71 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.49 : 362.81 = 219.71 : x
  2. Step 2: Convert to fraction form
    242.49/362.81 = 219.71/x
  3. Step 3: Cross multiply
    242.49x = 362.81 × 219.71
  4. Step 4: Simplify right side
    242.49x = 79,710.07
  5. Step 5: Solve for x
    x = 79,710.07/242.49
  6. Step 6: Final answer
    x = 328.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.