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Finding the Fourth Proportional to 191.53, 264.18 and 117.75

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Solution

The fourth proportional to 191.53, 264.18 and 117.75 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.53 : 264.18 = 117.75 : x
  2. Step 2: Convert to fraction form
    191.53/264.18 = 117.75/x
  3. Step 3: Cross multiply
    191.53x = 264.18 × 117.75
  4. Step 4: Simplify right side
    191.53x = 31,106.61
  5. Step 5: Solve for x
    x = 31,106.61/191.53
  6. Step 6: Final answer
    x = 162.42

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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.