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Finding the Fourth Proportional to 150.31, 207.41 and 84.81

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Solution

The fourth proportional to 150.31, 207.41 and 84.81 is: 117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.31 : 207.41 = 84.81 : x
  2. Step 2: Convert to fraction form
    150.31/207.41 = 84.81/x
  3. Step 3: Cross multiply
    150.31x = 207.41 × 84.81
  4. Step 4: Simplify right side
    150.31x = 17,590.02
  5. Step 5: Solve for x
    x = 17,590.02/150.31
  6. Step 6: Final answer
    x = 117.03

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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.