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Finding the Fourth Proportional to 332.35, 498.36 and 178.23

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Solution

The fourth proportional to 332.35, 498.36 and 178.23 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.35 : 498.36 = 178.23 : x
  2. Step 2: Convert to fraction form
    332.35/498.36 = 178.23/x
  3. Step 3: Cross multiply
    332.35x = 498.36 × 178.23
  4. Step 4: Simplify right side
    332.35x = 88,825.24
  5. Step 5: Solve for x
    x = 88,825.24/332.35
  6. Step 6: Final answer
    x = 267.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.