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Finding the Fourth Proportional to 360.23, 539.93 and 167.45

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Solution

The fourth proportional to 360.23, 539.93 and 167.45 is: 250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.23 : 539.93 = 167.45 : x
  2. Step 2: Convert to fraction form
    360.23/539.93 = 167.45/x
  3. Step 3: Cross multiply
    360.23x = 539.93 × 167.45
  4. Step 4: Simplify right side
    360.23x = 90,407.74
  5. Step 5: Solve for x
    x = 90,407.74/360.23
  6. Step 6: Final answer
    x = 250.98

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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.