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Finding the Fourth Proportional to 228.12, 340.40 and 220.29

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Solution

The fourth proportional to 228.12, 340.40 and 220.29 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.12 : 340.40 = 220.29 : x
  2. Step 2: Convert to fraction form
    228.12/340.40 = 220.29/x
  3. Step 3: Cross multiply
    228.12x = 340.40 × 220.29
  4. Step 4: Simplify right side
    228.12x = 74,985.61
  5. Step 5: Solve for x
    x = 74,985.61/228.12
  6. Step 6: Final answer
    x = 328.71

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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.