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Finding the Fourth Proportional to 159.55, 219.99 and 136.16

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Solution

The fourth proportional to 159.55, 219.99 and 136.16 is: 187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.55 : 219.99 = 136.16 : x
  2. Step 2: Convert to fraction form
    159.55/219.99 = 136.16/x
  3. Step 3: Cross multiply
    159.55x = 219.99 × 136.16
  4. Step 4: Simplify right side
    159.55x = 29,955.31
  5. Step 5: Solve for x
    x = 29,955.31/159.55
  6. Step 6: Final answer
    x = 187.75

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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.