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Finding the Fourth Proportional to 332.88, 499 and 140.40

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Solution

The fourth proportional to 332.88, 499 and 140.40 is: 210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.88 : 499 = 140.40 : x
  2. Step 2: Convert to fraction form
    332.88/499 = 140.40/x
  3. Step 3: Cross multiply
    332.88x = 499 × 140.40
  4. Step 4: Simplify right side
    332.88x = 70,059.60
  5. Step 5: Solve for x
    x = 70,059.60/332.88
  6. Step 6: Final answer
    x = 210.47

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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.