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Finding the Fourth Proportional to 332.50, 498.71 and 137.31

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Solution

The fourth proportional to 332.50, 498.71 and 137.31 is: 205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.50 : 498.71 = 137.31 : x
  2. Step 2: Convert to fraction form
    332.50/498.71 = 137.31/x
  3. Step 3: Cross multiply
    332.50x = 498.71 × 137.31
  4. Step 4: Simplify right side
    332.50x = 68,477.87
  5. Step 5: Solve for x
    x = 68,477.87/332.50
  6. Step 6: Final answer
    x = 205.95

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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.