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Finding the Fourth Proportional to 332.57, 498.97 and 150.09

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Solution

The fourth proportional to 332.57, 498.97 and 150.09 is: 225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.57 : 498.97 = 150.09 : x
  2. Step 2: Convert to fraction form
    332.57/498.97 = 150.09/x
  3. Step 3: Cross multiply
    332.57x = 498.97 × 150.09
  4. Step 4: Simplify right side
    332.57x = 74,890.41
  5. Step 5: Solve for x
    x = 74,890.41/332.57
  6. Step 6: Final answer
    x = 225.19

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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.