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Finding the Fourth Proportional to 360.76, 541 and 117.22

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Solution

The fourth proportional to 360.76, 541 and 117.22 is: 175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.76 : 541 = 117.22 : x
  2. Step 2: Convert to fraction form
    360.76/541 = 117.22/x
  3. Step 3: Cross multiply
    360.76x = 541 × 117.22
  4. Step 4: Simplify right side
    360.76x = 63,416.02
  5. Step 5: Solve for x
    x = 63,416.02/360.76
  6. Step 6: Final answer
    x = 175.78

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