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Finding the Fourth Proportional to 159.08, 219 and 149.18

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Solution

The fourth proportional to 159.08, 219 and 149.18 is: 205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.08 : 219 = 149.18 : x
  2. Step 2: Convert to fraction form
    159.08/219 = 149.18/x
  3. Step 3: Cross multiply
    159.08x = 219 × 149.18
  4. Step 4: Simplify right side
    159.08x = 32,670.42
  5. Step 5: Solve for x
    x = 32,670.42/159.08
  6. Step 6: Final answer
    x = 205.37

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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.