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Finding the Fourth Proportional to 332.70, 499.08 and 101.54

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Solution

The fourth proportional to 332.70, 499.08 and 101.54 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.70 : 499.08 = 101.54 : x
  2. Step 2: Convert to fraction form
    332.70/499.08 = 101.54/x
  3. Step 3: Cross multiply
    332.70x = 499.08 × 101.54
  4. Step 4: Simplify right side
    332.70x = 50,676.58
  5. Step 5: Solve for x
    x = 50,676.58/332.70
  6. Step 6: Final answer
    x = 152.32

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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.