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Finding the Fourth Proportional to 291.08, 436.57 and 108.43

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Solution

The fourth proportional to 291.08, 436.57 and 108.43 is: 162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.08 : 436.57 = 108.43 : x
  2. Step 2: Convert to fraction form
    291.08/436.57 = 108.43/x
  3. Step 3: Cross multiply
    291.08x = 436.57 × 108.43
  4. Step 4: Simplify right side
    291.08x = 47,337.29
  5. Step 5: Solve for x
    x = 47,337.29/291.08
  6. Step 6: Final answer
    x = 162.63

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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.