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Finding the Fourth Proportional to 188.40, 282.84 and 97.17

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Solution

The fourth proportional to 188.40, 282.84 and 97.17 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.40 : 282.84 = 97.17 : x
  2. Step 2: Convert to fraction form
    188.40/282.84 = 97.17/x
  3. Step 3: Cross multiply
    188.40x = 282.84 × 97.17
  4. Step 4: Simplify right side
    188.40x = 27,483.56
  5. Step 5: Solve for x
    x = 27,483.56/188.40
  6. Step 6: Final answer
    x = 145.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.