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Finding the Fourth Proportional to 191.56, 264.84 and 145.18

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Solution

The fourth proportional to 191.56, 264.84 and 145.18 is: 200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 264.84 = 145.18 : x
  2. Step 2: Convert to fraction form
    191.56/264.84 = 145.18/x
  3. Step 3: Cross multiply
    191.56x = 264.84 × 145.18
  4. Step 4: Simplify right side
    191.56x = 38,449.47
  5. Step 5: Solve for x
    x = 38,449.47/191.56
  6. Step 6: Final answer
    x = 200.72

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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.