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Finding the Fourth Proportional to 332.69, 498.95 and 113.31

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Solution

The fourth proportional to 332.69, 498.95 and 113.31 is: 169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.69 : 498.95 = 113.31 : x
  2. Step 2: Convert to fraction form
    332.69/498.95 = 113.31/x
  3. Step 3: Cross multiply
    332.69x = 498.95 × 113.31
  4. Step 4: Simplify right side
    332.69x = 56,536.02
  5. Step 5: Solve for x
    x = 56,536.02/332.69
  6. Step 6: Final answer
    x = 169.94

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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.