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Finding the Fourth Proportional to 922.15, 1,383.19 and 228.82

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Solution

The fourth proportional to 922.15, 1,383.19 and 228.82 is: 343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.15 : 1,383.19 = 228.82 : x
  2. Step 2: Convert to fraction form
    922.15/1,383.19 = 228.82/x
  3. Step 3: Cross multiply
    922.15x = 1,383.19 × 228.82
  4. Step 4: Simplify right side
    922.15x = 316,497.51
  5. Step 5: Solve for x
    x = 316,497.51/922.15
  6. Step 6: Final answer
    x = 343.22

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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.