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Finding the Fourth Proportional to 191.40, 264.34 and 159

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Solution

The fourth proportional to 191.40, 264.34 and 159 is: 219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.40 : 264.34 = 159 : x
  2. Step 2: Convert to fraction form
    191.40/264.34 = 159/x
  3. Step 3: Cross multiply
    191.40x = 264.34 × 159
  4. Step 4: Simplify right side
    191.40x = 42,030.06
  5. Step 5: Solve for x
    x = 42,030.06/191.40
  6. Step 6: Final answer
    x = 219.59

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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.