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Finding the Fourth Proportional to 191.70, 264.57 and 118.02

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Solution

The fourth proportional to 191.70, 264.57 and 118.02 is: 162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.70 : 264.57 = 118.02 : x
  2. Step 2: Convert to fraction form
    191.70/264.57 = 118.02/x
  3. Step 3: Cross multiply
    191.70x = 264.57 × 118.02
  4. Step 4: Simplify right side
    191.70x = 31,224.55
  5. Step 5: Solve for x
    x = 31,224.55/191.70
  6. Step 6: Final answer
    x = 162.88

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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.