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Finding the Fourth Proportional to 242.88, 361.92 and 228.48

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Solution

The fourth proportional to 242.88, 361.92 and 228.48 is: 340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 361.92 = 228.48 : x
  2. Step 2: Convert to fraction form
    242.88/361.92 = 228.48/x
  3. Step 3: Cross multiply
    242.88x = 361.92 × 228.48
  4. Step 4: Simplify right side
    242.88x = 82,691.48
  5. Step 5: Solve for x
    x = 82,691.48/242.88
  6. Step 6: Final answer
    x = 340.46

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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.