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Finding the Fourth Proportional to 242.33, 334.73 and 216.20

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Solution

The fourth proportional to 242.33, 334.73 and 216.20 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.33 : 334.73 = 216.20 : x
  2. Step 2: Convert to fraction form
    242.33/334.73 = 216.20/x
  3. Step 3: Cross multiply
    242.33x = 334.73 × 216.20
  4. Step 4: Simplify right side
    242.33x = 72,370.00
  5. Step 5: Solve for x
    x = 72,370.00/242.33
  6. Step 6: Final answer
    x = 298.65

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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.