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Finding the Fourth Proportional to 188.69, 283.50 and 120.24

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Solution

The fourth proportional to 188.69, 283.50 and 120.24 is: 180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.69 : 283.50 = 120.24 : x
  2. Step 2: Convert to fraction form
    188.69/283.50 = 120.24/x
  3. Step 3: Cross multiply
    188.69x = 283.50 × 120.24
  4. Step 4: Simplify right side
    188.69x = 34,088.04
  5. Step 5: Solve for x
    x = 34,088.04/188.69
  6. Step 6: Final answer
    x = 180.66

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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.