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Finding the Fourth Proportional to 264.42, 364.82 and 147.96

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Solution

The fourth proportional to 264.42, 364.82 and 147.96 is: 204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.42 : 364.82 = 147.96 : x
  2. Step 2: Convert to fraction form
    264.42/364.82 = 147.96/x
  3. Step 3: Cross multiply
    264.42x = 364.82 × 147.96
  4. Step 4: Simplify right side
    264.42x = 53,978.03
  5. Step 5: Solve for x
    x = 53,978.03/264.42
  6. Step 6: Final answer
    x = 204.14

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Why These Related Problems?

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