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Finding the Fourth Proportional to 264.35, 364.82 and 146.34

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Solution

The fourth proportional to 264.35, 364.82 and 146.34 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 364.82 = 146.34 : x
  2. Step 2: Convert to fraction form
    264.35/364.82 = 146.34/x
  3. Step 3: Cross multiply
    264.35x = 364.82 × 146.34
  4. Step 4: Simplify right side
    264.35x = 53,387.03
  5. Step 5: Solve for x
    x = 53,387.03/264.35
  6. Step 6: Final answer
    x = 201.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.