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Finding the Fourth Proportional to 188.27, 282.67 and 106.16

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Solution

The fourth proportional to 188.27, 282.67 and 106.16 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.27 : 282.67 = 106.16 : x
  2. Step 2: Convert to fraction form
    188.27/282.67 = 106.16/x
  3. Step 3: Cross multiply
    188.27x = 282.67 × 106.16
  4. Step 4: Simplify right side
    188.27x = 30,009.02
  5. Step 5: Solve for x
    x = 30,009.02/188.27
  6. Step 6: Final answer
    x = 159.40

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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.