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Finding the Fourth Proportional to 150.65, 207.88 and 84.26

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Solution

The fourth proportional to 150.65, 207.88 and 84.26 is: 116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 207.88 = 84.26 : x
  2. Step 2: Convert to fraction form
    150.65/207.88 = 84.26/x
  3. Step 3: Cross multiply
    150.65x = 207.88 × 84.26
  4. Step 4: Simplify right side
    150.65x = 17,516.18
  5. Step 5: Solve for x
    x = 17,516.18/150.65
  6. Step 6: Final answer
    x = 116.27

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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.