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Finding the Fourth Proportional to 157.92, 219.04 and 151.20

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Solution

The fourth proportional to 157.92, 219.04 and 151.20 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.92 : 219.04 = 151.20 : x
  2. Step 2: Convert to fraction form
    157.92/219.04 = 151.20/x
  3. Step 3: Cross multiply
    157.92x = 219.04 × 151.20
  4. Step 4: Simplify right side
    157.92x = 33,118.85
  5. Step 5: Solve for x
    x = 33,118.85/157.92
  6. Step 6: Final answer
    x = 209.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.