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Finding the Fourth Proportional to 188.51, 282.33 and 96.98

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Solution

The fourth proportional to 188.51, 282.33 and 96.98 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.51 : 282.33 = 96.98 : x
  2. Step 2: Convert to fraction form
    188.51/282.33 = 96.98/x
  3. Step 3: Cross multiply
    188.51x = 282.33 × 96.98
  4. Step 4: Simplify right side
    188.51x = 27,380.36
  5. Step 5: Solve for x
    x = 27,380.36/188.51
  6. Step 6: Final answer
    x = 145.25

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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.