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Finding the Fourth Proportional to 180.66, 271.62 and 99.66

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Solution

The fourth proportional to 180.66, 271.62 and 99.66 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 271.62 = 99.66 : x
  2. Step 2: Convert to fraction form
    180.66/271.62 = 99.66/x
  3. Step 3: Cross multiply
    180.66x = 271.62 × 99.66
  4. Step 4: Simplify right side
    180.66x = 27,069.65
  5. Step 5: Solve for x
    x = 27,069.65/180.66
  6. Step 6: Final answer
    x = 149.84

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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.