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Finding the Fourth Proportional to 255.09, 352 and 150.17

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Solution

The fourth proportional to 255.09, 352 and 150.17 is: 207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.09 : 352 = 150.17 : x
  2. Step 2: Convert to fraction form
    255.09/352 = 150.17/x
  3. Step 3: Cross multiply
    255.09x = 352 × 150.17
  4. Step 4: Simplify right side
    255.09x = 52,859.84
  5. Step 5: Solve for x
    x = 52,859.84/255.09
  6. Step 6: Final answer
    x = 207.22

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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.