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Finding the Fourth Proportional to 159.34, 219.81 and 149.02

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Solution

The fourth proportional to 159.34, 219.81 and 149.02 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.34 : 219.81 = 149.02 : x
  2. Step 2: Convert to fraction form
    159.34/219.81 = 149.02/x
  3. Step 3: Cross multiply
    159.34x = 219.81 × 149.02
  4. Step 4: Simplify right side
    159.34x = 32,756.09
  5. Step 5: Solve for x
    x = 32,756.09/159.34
  6. Step 6: Final answer
    x = 205.57

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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.