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Finding the Fourth Proportional to 228.32, 340.66 and 192.32

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Solution

The fourth proportional to 228.32, 340.66 and 192.32 is: 286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.32 : 340.66 = 192.32 : x
  2. Step 2: Convert to fraction form
    228.32/340.66 = 192.32/x
  3. Step 3: Cross multiply
    228.32x = 340.66 × 192.32
  4. Step 4: Simplify right side
    228.32x = 65,515.73
  5. Step 5: Solve for x
    x = 65,515.73/228.32
  6. Step 6: Final answer
    x = 286.95

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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.