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Finding the Fourth Proportional to 188.93, 282.92 and 148.83

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Solution

The fourth proportional to 188.93, 282.92 and 148.83 is: 222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.93 : 282.92 = 148.83 : x
  2. Step 2: Convert to fraction form
    188.93/282.92 = 148.83/x
  3. Step 3: Cross multiply
    188.93x = 282.92 × 148.83
  4. Step 4: Simplify right side
    188.93x = 42,106.24
  5. Step 5: Solve for x
    x = 42,106.24/188.93
  6. Step 6: Final answer
    x = 222.87

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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.