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Finding the Fourth Proportional to 264.09, 364.42 and 147.63

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Solution

The fourth proportional to 264.09, 364.42 and 147.63 is: 203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.09 : 364.42 = 147.63 : x
  2. Step 2: Convert to fraction form
    264.09/364.42 = 147.63/x
  3. Step 3: Cross multiply
    264.09x = 364.42 × 147.63
  4. Step 4: Simplify right side
    264.09x = 53,799.32
  5. Step 5: Solve for x
    x = 53,799.32/264.09
  6. Step 6: Final answer
    x = 203.72

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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.