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Finding the Fourth Proportional to 174.66, 262.05 and 87.99

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Solution

The fourth proportional to 174.66, 262.05 and 87.99 is: 132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 262.05 = 87.99 : x
  2. Step 2: Convert to fraction form
    174.66/262.05 = 87.99/x
  3. Step 3: Cross multiply
    174.66x = 262.05 × 87.99
  4. Step 4: Simplify right side
    174.66x = 23,056.96
  5. Step 5: Solve for x
    x = 23,056.96/174.66
  6. Step 6: Final answer
    x = 132.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.