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Finding the Fourth Proportional to 360.07, 540.16 and 128.91

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Solution

The fourth proportional to 360.07, 540.16 and 128.91 is: 193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.07 : 540.16 = 128.91 : x
  2. Step 2: Convert to fraction form
    360.07/540.16 = 128.91/x
  3. Step 3: Cross multiply
    360.07x = 540.16 × 128.91
  4. Step 4: Simplify right side
    360.07x = 69,630.69
  5. Step 5: Solve for x
    x = 69,630.69/360.07
  6. Step 6: Final answer
    x = 193.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.