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Finding the Fourth Proportional to 282.16, 424.20 and 228.43

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Solution

The fourth proportional to 282.16, 424.20 and 228.43 is: 343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.16 : 424.20 = 228.43 : x
  2. Step 2: Convert to fraction form
    282.16/424.20 = 228.43/x
  3. Step 3: Cross multiply
    282.16x = 424.20 × 228.43
  4. Step 4: Simplify right side
    282.16x = 96,897.89
  5. Step 5: Solve for x
    x = 96,897.89/282.16
  6. Step 6: Final answer
    x = 343.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.