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Finding the Fourth Proportional to 185.66, 278.12 and 96.46

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Solution

The fourth proportional to 185.66, 278.12 and 96.46 is: 144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.66 : 278.12 = 96.46 : x
  2. Step 2: Convert to fraction form
    185.66/278.12 = 96.46/x
  3. Step 3: Cross multiply
    185.66x = 278.12 × 96.46
  4. Step 4: Simplify right side
    185.66x = 26,827.46
  5. Step 5: Solve for x
    x = 26,827.46/185.66
  6. Step 6: Final answer
    x = 144.50

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Why These Related Problems?

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