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Finding the Fourth Proportional to 360.97, 541.42 and 117.48

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Solution

The fourth proportional to 360.97, 541.42 and 117.48 is: 176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.97 : 541.42 = 117.48 : x
  2. Step 2: Convert to fraction form
    360.97/541.42 = 117.48/x
  3. Step 3: Cross multiply
    360.97x = 541.42 × 117.48
  4. Step 4: Simplify right side
    360.97x = 63,603.70
  5. Step 5: Solve for x
    x = 63,603.70/360.97
  6. Step 6: Final answer
    x = 176.20

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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.