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Finding the Fourth Proportional to 153.34, 230.17 and 92.59

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Solution

The fourth proportional to 153.34, 230.17 and 92.59 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.34 : 230.17 = 92.59 : x
  2. Step 2: Convert to fraction form
    153.34/230.17 = 92.59/x
  3. Step 3: Cross multiply
    153.34x = 230.17 × 92.59
  4. Step 4: Simplify right side
    153.34x = 21,311.84
  5. Step 5: Solve for x
    x = 21,311.84/153.34
  6. Step 6: Final answer
    x = 138.98

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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.