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Finding the Fourth Proportional to 232.02, 346.04 and 228.93

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Solution

The fourth proportional to 232.02, 346.04 and 228.93 is: 341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 346.04 = 228.93 : x
  2. Step 2: Convert to fraction form
    232.02/346.04 = 228.93/x
  3. Step 3: Cross multiply
    232.02x = 346.04 × 228.93
  4. Step 4: Simplify right side
    232.02x = 79,217.79
  5. Step 5: Solve for x
    x = 79,217.79/232.02
  6. Step 6: Final answer
    x = 341.43

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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.