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Finding the Fourth Proportional to 191.95, 264.50 and 136.53

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Solution

The fourth proportional to 191.95, 264.50 and 136.53 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.95 : 264.50 = 136.53 : x
  2. Step 2: Convert to fraction form
    191.95/264.50 = 136.53/x
  3. Step 3: Cross multiply
    191.95x = 264.50 × 136.53
  4. Step 4: Simplify right side
    191.95x = 36,112.53
  5. Step 5: Solve for x
    x = 36,112.53/191.95
  6. Step 6: Final answer
    x = 188.14

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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.