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Finding the Fourth Proportional to 264.14, 364.53 and 159.23

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Solution

The fourth proportional to 264.14, 364.53 and 159.23 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.14 : 364.53 = 159.23 : x
  2. Step 2: Convert to fraction form
    264.14/364.53 = 159.23/x
  3. Step 3: Cross multiply
    264.14x = 364.53 × 159.23
  4. Step 4: Simplify right side
    264.14x = 58,044.11
  5. Step 5: Solve for x
    x = 58,044.11/264.14
  6. Step 6: Final answer
    x = 219.75

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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.