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Finding the Fourth Proportional to 255.16, 352.09 and 150.25

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Solution

The fourth proportional to 255.16, 352.09 and 150.25 is: 207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.16 : 352.09 = 150.25 : x
  2. Step 2: Convert to fraction form
    255.16/352.09 = 150.25/x
  3. Step 3: Cross multiply
    255.16x = 352.09 × 150.25
  4. Step 4: Simplify right side
    255.16x = 52,899.76
  5. Step 5: Solve for x
    x = 52,899.76/255.16
  6. Step 6: Final answer
    x = 207.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.