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Finding the Fourth Proportional to 260.53, 389.90 and 162.99

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Solution

The fourth proportional to 260.53, 389.90 and 162.99 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.53 : 389.90 = 162.99 : x
  2. Step 2: Convert to fraction form
    260.53/389.90 = 162.99/x
  3. Step 3: Cross multiply
    260.53x = 389.90 × 162.99
  4. Step 4: Simplify right side
    260.53x = 63,549.80
  5. Step 5: Solve for x
    x = 63,549.80/260.53
  6. Step 6: Final answer
    x = 243.93

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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.