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Finding the Fourth Proportional to 242.04, 332.16 and 235.92

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Solution

The fourth proportional to 242.04, 332.16 and 235.92 is: 323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.04 : 332.16 = 235.92 : x
  2. Step 2: Convert to fraction form
    242.04/332.16 = 235.92/x
  3. Step 3: Cross multiply
    242.04x = 332.16 × 235.92
  4. Step 4: Simplify right side
    242.04x = 78,363.19
  5. Step 5: Solve for x
    x = 78,363.19/242.04
  6. Step 6: Final answer
    x = 323.76

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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.