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Finding the Fourth Proportional to 252.17, 377.93 and 89.66

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Solution

The fourth proportional to 252.17, 377.93 and 89.66 is: 134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.17 : 377.93 = 89.66 : x
  2. Step 2: Convert to fraction form
    252.17/377.93 = 89.66/x
  3. Step 3: Cross multiply
    252.17x = 377.93 × 89.66
  4. Step 4: Simplify right side
    252.17x = 33,885.20
  5. Step 5: Solve for x
    x = 33,885.20/252.17
  6. Step 6: Final answer
    x = 134.37

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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.