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Finding the Fourth Proportional to 265.23, 397.84 and 109.02

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Solution

The fourth proportional to 265.23, 397.84 and 109.02 is: 163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.23 : 397.84 = 109.02 : x
  2. Step 2: Convert to fraction form
    265.23/397.84 = 109.02/x
  3. Step 3: Cross multiply
    265.23x = 397.84 × 109.02
  4. Step 4: Simplify right side
    265.23x = 43,373.53
  5. Step 5: Solve for x
    x = 43,373.53/265.23
  6. Step 6: Final answer
    x = 163.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.