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Finding the Fourth Proportional to 360.72, 541.08 and 117.24

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Solution

The fourth proportional to 360.72, 541.08 and 117.24 is: 175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 541.08 = 117.24 : x
  2. Step 2: Convert to fraction form
    360.72/541.08 = 117.24/x
  3. Step 3: Cross multiply
    360.72x = 541.08 × 117.24
  4. Step 4: Simplify right side
    360.72x = 63,436.22
  5. Step 5: Solve for x
    x = 63,436.22/360.72
  6. Step 6: Final answer
    x = 175.86

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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.