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Finding the Fourth Proportional to 150.33, 207.65 and 123.04

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Solution

The fourth proportional to 150.33, 207.65 and 123.04 is: 169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.33 : 207.65 = 123.04 : x
  2. Step 2: Convert to fraction form
    150.33/207.65 = 123.04/x
  3. Step 3: Cross multiply
    150.33x = 207.65 × 123.04
  4. Step 4: Simplify right side
    150.33x = 25,549.26
  5. Step 5: Solve for x
    x = 25,549.26/150.33
  6. Step 6: Final answer
    x = 169.95

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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.