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Finding the Fourth Proportional to 213, 319.42 and 91.18

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Solution

The fourth proportional to 213, 319.42 and 91.18 is: 136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 319.42 = 91.18 : x
  2. Step 2: Convert to fraction form
    213/319.42 = 91.18/x
  3. Step 3: Cross multiply
    213x = 319.42 × 91.18
  4. Step 4: Simplify right side
    213x = 29,124.72
  5. Step 5: Solve for x
    x = 29,124.72/213
  6. Step 6: Final answer
    x = 136.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.