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Finding the Fourth Proportional to 150.23, 207.33 and 84.74

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Solution

The fourth proportional to 150.23, 207.33 and 84.74 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 207.33 = 84.74 : x
  2. Step 2: Convert to fraction form
    150.23/207.33 = 84.74/x
  3. Step 3: Cross multiply
    150.23x = 207.33 × 84.74
  4. Step 4: Simplify right side
    150.23x = 17,569.14
  5. Step 5: Solve for x
    x = 17,569.14/150.23
  6. Step 6: Final answer
    x = 116.95

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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.