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Finding the Fourth Proportional to 242.28, 332.85 and 233.24

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Solution

The fourth proportional to 242.28, 332.85 and 233.24 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 332.85 = 233.24 : x
  2. Step 2: Convert to fraction form
    242.28/332.85 = 233.24/x
  3. Step 3: Cross multiply
    242.28x = 332.85 × 233.24
  4. Step 4: Simplify right side
    242.28x = 77,633.93
  5. Step 5: Solve for x
    x = 77,633.93/242.28
  6. Step 6: Final answer
    x = 320.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.