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Finding the Fourth Proportional to 242.23, 334.14 and 209.17

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Solution

The fourth proportional to 242.23, 334.14 and 209.17 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.23 : 334.14 = 209.17 : x
  2. Step 2: Convert to fraction form
    242.23/334.14 = 209.17/x
  3. Step 3: Cross multiply
    242.23x = 334.14 × 209.17
  4. Step 4: Simplify right side
    242.23x = 69,890.71
  5. Step 5: Solve for x
    x = 69,890.71/242.23
  6. Step 6: Final answer
    x = 288.54

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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.