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Finding the Fourth Proportional to 332.09, 498.17 and 115.64

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Solution

The fourth proportional to 332.09, 498.17 and 115.64 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.09 : 498.17 = 115.64 : x
  2. Step 2: Convert to fraction form
    332.09/498.17 = 115.64/x
  3. Step 3: Cross multiply
    332.09x = 498.17 × 115.64
  4. Step 4: Simplify right side
    332.09x = 57,606.18
  5. Step 5: Solve for x
    x = 57,606.18/332.09
  6. Step 6: Final answer
    x = 173.47

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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.