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Finding the Fourth Proportional to 228.40, 341.06 and 198.04

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Solution

The fourth proportional to 228.40, 341.06 and 198.04 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.40 : 341.06 = 198.04 : x
  2. Step 2: Convert to fraction form
    228.40/341.06 = 198.04/x
  3. Step 3: Cross multiply
    228.40x = 341.06 × 198.04
  4. Step 4: Simplify right side
    228.40x = 67,543.52
  5. Step 5: Solve for x
    x = 67,543.52/228.40
  6. Step 6: Final answer
    x = 295.72

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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.