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Finding the Fourth Proportional to 159.47, 219.75 and 134.86

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Solution

The fourth proportional to 159.47, 219.75 and 134.86 is: 185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 219.75 = 134.86 : x
  2. Step 2: Convert to fraction form
    159.47/219.75 = 134.86/x
  3. Step 3: Cross multiply
    159.47x = 219.75 × 134.86
  4. Step 4: Simplify right side
    159.47x = 29,634.81
  5. Step 5: Solve for x
    x = 29,634.81/159.47
  6. Step 6: Final answer
    x = 185.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.