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Finding the Fourth Proportional to 332.76, 498.96 and 140.34

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Solution

The fourth proportional to 332.76, 498.96 and 140.34 is: 210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.76 : 498.96 = 140.34 : x
  2. Step 2: Convert to fraction form
    332.76/498.96 = 140.34/x
  3. Step 3: Cross multiply
    332.76x = 498.96 × 140.34
  4. Step 4: Simplify right side
    332.76x = 70,024.05
  5. Step 5: Solve for x
    x = 70,024.05/332.76
  6. Step 6: Final answer
    x = 210.43

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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.