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Finding the Fourth Proportional to 235.41, 324.98 and 152.56

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Solution

The fourth proportional to 235.41, 324.98 and 152.56 is: 210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 324.98 = 152.56 : x
  2. Step 2: Convert to fraction form
    235.41/324.98 = 152.56/x
  3. Step 3: Cross multiply
    235.41x = 324.98 × 152.56
  4. Step 4: Simplify right side
    235.41x = 49,578.95
  5. Step 5: Solve for x
    x = 49,578.95/235.41
  6. Step 6: Final answer
    x = 210.61

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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.