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Finding the Fourth Proportional to 228.68, 340.95 and 224.57

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Solution

The fourth proportional to 228.68, 340.95 and 224.57 is: 334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.68 : 340.95 = 224.57 : x
  2. Step 2: Convert to fraction form
    228.68/340.95 = 224.57/x
  3. Step 3: Cross multiply
    228.68x = 340.95 × 224.57
  4. Step 4: Simplify right side
    228.68x = 76,565.44
  5. Step 5: Solve for x
    x = 76,565.44/228.68
  6. Step 6: Final answer
    x = 334.82

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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.