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Finding the Fourth Proportional to 150.69, 207.76 and 98.16

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Solution

The fourth proportional to 150.69, 207.76 and 98.16 is: 135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 207.76 = 98.16 : x
  2. Step 2: Convert to fraction form
    150.69/207.76 = 98.16/x
  3. Step 3: Cross multiply
    150.69x = 207.76 × 98.16
  4. Step 4: Simplify right side
    150.69x = 20,392.70
  5. Step 5: Solve for x
    x = 20,392.70/150.69
  6. Step 6: Final answer
    x = 135.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.