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Finding the Fourth Proportional to 187.92, 258.24 and 152.88

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Solution

The fourth proportional to 187.92, 258.24 and 152.88 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 258.24 = 152.88 : x
  2. Step 2: Convert to fraction form
    187.92/258.24 = 152.88/x
  3. Step 3: Cross multiply
    187.92x = 258.24 × 152.88
  4. Step 4: Simplify right side
    187.92x = 39,479.73
  5. Step 5: Solve for x
    x = 39,479.73/187.92
  6. Step 6: Final answer
    x = 210.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.