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Finding the Fourth Proportional to 191.64, 264.56 and 118.00

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Solution

The fourth proportional to 191.64, 264.56 and 118.00 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 264.56 = 118.00 : x
  2. Step 2: Convert to fraction form
    191.64/264.56 = 118.00/x
  3. Step 3: Cross multiply
    191.64x = 264.56 × 118.00
  4. Step 4: Simplify right side
    191.64x = 31,217.27
  5. Step 5: Solve for x
    x = 31,217.27/191.64
  6. Step 6: Final answer
    x = 162.90

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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.