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Finding the Fourth Proportional to 188.49, 282.90 and 106.32

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Solution

The fourth proportional to 188.49, 282.90 and 106.32 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.49 : 282.90 = 106.32 : x
  2. Step 2: Convert to fraction form
    188.49/282.90 = 106.32/x
  3. Step 3: Cross multiply
    188.49x = 282.90 × 106.32
  4. Step 4: Simplify right side
    188.49x = 30,077.93
  5. Step 5: Solve for x
    x = 30,077.93/188.49
  6. Step 6: Final answer
    x = 159.57

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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.