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Finding the Fourth Proportional to 152.41, 209.91 and 151.96

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Solution

The fourth proportional to 152.41, 209.91 and 151.96 is: 209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 209.91 = 151.96 : x
  2. Step 2: Convert to fraction form
    152.41/209.91 = 151.96/x
  3. Step 3: Cross multiply
    152.41x = 209.91 × 151.96
  4. Step 4: Simplify right side
    152.41x = 31,897.92
  5. Step 5: Solve for x
    x = 31,897.92/152.41
  6. Step 6: Final answer
    x = 209.29

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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.