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Finding the Fourth Proportional to 264.07, 364.35 and 159.13

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Solution

The fourth proportional to 264.07, 364.35 and 159.13 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.07 : 364.35 = 159.13 : x
  2. Step 2: Convert to fraction form
    264.07/364.35 = 159.13/x
  3. Step 3: Cross multiply
    264.07x = 364.35 × 159.13
  4. Step 4: Simplify right side
    264.07x = 57,979.02
  5. Step 5: Solve for x
    x = 57,979.02/264.07
  6. Step 6: Final answer
    x = 219.56

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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.