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Finding the Fourth Proportional to 360.79, 541.07 and 117.26

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Solution

The fourth proportional to 360.79, 541.07 and 117.26 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.79 : 541.07 = 117.26 : x
  2. Step 2: Convert to fraction form
    360.79/541.07 = 117.26/x
  3. Step 3: Cross multiply
    360.79x = 541.07 × 117.26
  4. Step 4: Simplify right side
    360.79x = 63,442.58
  5. Step 5: Solve for x
    x = 63,442.58/360.79
  6. Step 6: Final answer
    x = 175.85

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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.