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Finding the Fourth Proportional to 162.90, 225.11 and 157.57

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Solution

The fourth proportional to 162.90, 225.11 and 157.57 is: 217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.90 : 225.11 = 157.57 : x
  2. Step 2: Convert to fraction form
    162.90/225.11 = 157.57/x
  3. Step 3: Cross multiply
    162.90x = 225.11 × 157.57
  4. Step 4: Simplify right side
    162.90x = 35,470.41
  5. Step 5: Solve for x
    x = 35,470.41/162.90
  6. Step 6: Final answer
    x = 217.74

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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.