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Finding the Fourth Proportional to 242.60, 336.56 and 233.69

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Solution

The fourth proportional to 242.60, 336.56 and 233.69 is: 324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.60 : 336.56 = 233.69 : x
  2. Step 2: Convert to fraction form
    242.60/336.56 = 233.69/x
  3. Step 3: Cross multiply
    242.60x = 336.56 × 233.69
  4. Step 4: Simplify right side
    242.60x = 78,647.86
  5. Step 5: Solve for x
    x = 78,647.86/242.60
  6. Step 6: Final answer
    x = 324.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.