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Finding the Fourth Proportional to 291.32, 436.38 and 169.04

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Solution

The fourth proportional to 291.32, 436.38 and 169.04 is: 253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.32 : 436.38 = 169.04 : x
  2. Step 2: Convert to fraction form
    291.32/436.38 = 169.04/x
  3. Step 3: Cross multiply
    291.32x = 436.38 × 169.04
  4. Step 4: Simplify right side
    291.32x = 73,765.68
  5. Step 5: Solve for x
    x = 73,765.68/291.32
  6. Step 6: Final answer
    x = 253.21

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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.