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Finding the Fourth Proportional to 229.64, 344.51 and 83.40

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Solution

The fourth proportional to 229.64, 344.51 and 83.40 is: 125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.64 : 344.51 = 83.40 : x
  2. Step 2: Convert to fraction form
    229.64/344.51 = 83.40/x
  3. Step 3: Cross multiply
    229.64x = 344.51 × 83.40
  4. Step 4: Simplify right side
    229.64x = 28,731.72
  5. Step 5: Solve for x
    x = 28,731.72/229.64
  6. Step 6: Final answer
    x = 125.12

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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.