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Finding the Fourth Proportional to 264.61, 365.07 and 159.74

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Solution

The fourth proportional to 264.61, 365.07 and 159.74 is: 220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.61 : 365.07 = 159.74 : x
  2. Step 2: Convert to fraction form
    264.61/365.07 = 159.74/x
  3. Step 3: Cross multiply
    264.61x = 365.07 × 159.74
  4. Step 4: Simplify right side
    264.61x = 58,314.46
  5. Step 5: Solve for x
    x = 58,314.46/264.61
  6. Step 6: Final answer
    x = 220.38

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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.