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Finding the Fourth Proportional to 332.30, 499.33 and 178.34

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Solution

The fourth proportional to 332.30, 499.33 and 178.34 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.30 : 499.33 = 178.34 : x
  2. Step 2: Convert to fraction form
    332.30/499.33 = 178.34/x
  3. Step 3: Cross multiply
    332.30x = 499.33 × 178.34
  4. Step 4: Simplify right side
    332.30x = 89,050.51
  5. Step 5: Solve for x
    x = 89,050.51/332.30
  6. Step 6: Final answer
    x = 267.98

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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.