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Finding the Fourth Proportional to 260.11, 390.15 and 157.42

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Solution

The fourth proportional to 260.11, 390.15 and 157.42 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.11 : 390.15 = 157.42 : x
  2. Step 2: Convert to fraction form
    260.11/390.15 = 157.42/x
  3. Step 3: Cross multiply
    260.11x = 390.15 × 157.42
  4. Step 4: Simplify right side
    260.11x = 61,417.41
  5. Step 5: Solve for x
    x = 61,417.41/260.11
  6. Step 6: Final answer
    x = 236.12

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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.