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Finding the Fourth Proportional to 185.70, 276.95 and 158.46

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Solution

The fourth proportional to 185.70, 276.95 and 158.46 is: 236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.70 : 276.95 = 158.46 : x
  2. Step 2: Convert to fraction form
    185.70/276.95 = 158.46/x
  3. Step 3: Cross multiply
    185.70x = 276.95 × 158.46
  4. Step 4: Simplify right side
    185.70x = 43,885.50
  5. Step 5: Solve for x
    x = 43,885.50/185.70
  6. Step 6: Final answer
    x = 236.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.