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Finding the Fourth Proportional to 191.45, 264.16 and 108.53

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Solution

The fourth proportional to 191.45, 264.16 and 108.53 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.45 : 264.16 = 108.53 : x
  2. Step 2: Convert to fraction form
    191.45/264.16 = 108.53/x
  3. Step 3: Cross multiply
    191.45x = 264.16 × 108.53
  4. Step 4: Simplify right side
    191.45x = 28,669.67
  5. Step 5: Solve for x
    x = 28,669.67/191.45
  6. Step 6: Final answer
    x = 149.75

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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.