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Finding the Fourth Proportional to 332.90, 499.06 and 159.48

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Solution

The fourth proportional to 332.90, 499.06 and 159.48 is: 239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.90 : 499.06 = 159.48 : x
  2. Step 2: Convert to fraction form
    332.90/499.06 = 159.48/x
  3. Step 3: Cross multiply
    332.90x = 499.06 × 159.48
  4. Step 4: Simplify right side
    332.90x = 79,590.09
  5. Step 5: Solve for x
    x = 79,590.09/332.90
  6. Step 6: Final answer
    x = 239.08

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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.