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Finding the Fourth Proportional to 232.64, 346.64 and 223.36

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Solution

The fourth proportional to 232.64, 346.64 and 223.36 is: 332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 346.64 = 223.36 : x
  2. Step 2: Convert to fraction form
    232.64/346.64 = 223.36/x
  3. Step 3: Cross multiply
    232.64x = 346.64 × 223.36
  4. Step 4: Simplify right side
    232.64x = 77,425.51
  5. Step 5: Solve for x
    x = 77,425.51/232.64
  6. Step 6: Final answer
    x = 332.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.